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Finding the Third Proportional to 723,587 and 1,063,703

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Solution

The third proportional to 723,587 and 1,063,703 is: 1,563,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,587 : 1,063,703 = 1,063,703 : x
  2. Step 2: Convert to fraction form
    723,587/1,063,703 = 1,063,703/x
  3. Step 3: Cross multiply
    723,587x = 1,063,703 × 1,063,703
  4. Step 4: Simplify right side
    723,587x = 1,131,464,072,209
  5. Step 5: Solve for x
    x = 1,131,464,072,209/723,587
  6. Step 6: Final answer
    x = 1,563,687.67

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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.