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Finding the Third Proportional to 723,854 and 1,127,145

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Solution

The third proportional to 723,854 and 1,127,145 is: 1,755,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,854 : 1,127,145 = 1,127,145 : x
  2. Step 2: Convert to fraction form
    723,854/1,127,145 = 1,127,145/x
  3. Step 3: Cross multiply
    723,854x = 1,127,145 × 1,127,145
  4. Step 4: Simplify right side
    723,854x = 1,270,455,851,025
  5. Step 5: Solve for x
    x = 1,270,455,851,025/723,854
  6. Step 6: Final answer
    x = 1,755,127.21

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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.