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Finding the Third Proportional to 403,790,582.25 and 878,439,964.50

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Solution

The third proportional to 403,790,582.25 and 878,439,964.50 is: 1,911,032,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,790,582.25 : 878,439,964.50 = 878,439,964.50 : x
  2. Step 2: Convert to fraction form
    403,790,582.25/878,439,964.50 = 878,439,964.50/x
  3. Step 3: Cross multiply
    403,790,582.25x = 878,439,964.50 × 878,439,964.50
  4. Step 4: Simplify right side
    403,790,582.25x = 771,656,771,230,761,216
  5. Step 5: Solve for x
    x = 771,656,771,230,761,216/403,790,582.25
  6. Step 6: Final answer
    x = 1,911,032,117.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.