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Finding the Third Proportional to 904,864.50 and 1,265,641.88

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Solution

The third proportional to 904,864.50 and 1,265,641.88 is: 1,770,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,864.50 : 1,265,641.88 = 1,265,641.88 : x
  2. Step 2: Convert to fraction form
    904,864.50/1,265,641.88 = 1,265,641.88/x
  3. Step 3: Cross multiply
    904,864.50x = 1,265,641.88 × 1,265,641.88
  4. Step 4: Simplify right side
    904,864.50x = 1,601,849,355,753.52
  5. Step 5: Solve for x
    x = 1,601,849,355,753.52/904,864.50
  6. Step 6: Final answer
    x = 1,770,264.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.