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Finding the Third Proportional to 723,723 and 1,064,531

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Solution

The third proportional to 723,723 and 1,064,531 is: 1,565,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,723 : 1,064,531 = 1,064,531 : x
  2. Step 2: Convert to fraction form
    723,723/1,064,531 = 1,064,531/x
  3. Step 3: Cross multiply
    723,723x = 1,064,531 × 1,064,531
  4. Step 4: Simplify right side
    723,723x = 1,133,226,249,961
  5. Step 5: Solve for x
    x = 1,133,226,249,961/723,723
  6. Step 6: Final answer
    x = 1,565,828.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.