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Finding the Third Proportional to 1,226,153.08 and 1,913,730.72

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Solution

The third proportional to 1,226,153.08 and 1,913,730.72 is: 2,986,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,153.08 : 1,913,730.72 = 1,913,730.72 : x
  2. Step 2: Convert to fraction form
    1,226,153.08/1,913,730.72 = 1,913,730.72/x
  3. Step 3: Cross multiply
    1,226,153.08x = 1,913,730.72 × 1,913,730.72
  4. Step 4: Simplify right side
    1,226,153.08x = 3,662,365,265,756.34
  5. Step 5: Solve for x
    x = 3,662,365,265,756.34/1,226,153.08
  6. Step 6: Final answer
    x = 2,986,874.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.