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Finding the Third Proportional to 403,962,786 and 872,495,532

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Solution

The third proportional to 403,962,786 and 872,495,532 is: 1,884,451,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,962,786 : 872,495,532 = 872,495,532 : x
  2. Step 2: Convert to fraction form
    403,962,786/872,495,532 = 872,495,532/x
  3. Step 3: Cross multiply
    403,962,786x = 872,495,532 × 872,495,532
  4. Step 4: Simplify right side
    403,962,786x = 761,248,453,359,963,008
  5. Step 5: Solve for x
    x = 761,248,453,359,963,008/403,962,786
  6. Step 6: Final answer
    x = 1,884,451,934.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.