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Finding the Third Proportional to 723,592 and 1,063,712

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Solution

The third proportional to 723,592 and 1,063,712 is: 1,563,703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,592 : 1,063,712 = 1,063,712 : x
  2. Step 2: Convert to fraction form
    723,592/1,063,712 = 1,063,712/x
  3. Step 3: Cross multiply
    723,592x = 1,063,712 × 1,063,712
  4. Step 4: Simplify right side
    723,592x = 1,131,483,218,944
  5. Step 5: Solve for x
    x = 1,131,483,218,944/723,592
  6. Step 6: Final answer
    x = 1,563,703.33

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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.