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Finding the Third Proportional to 720,598 and 1,564,267

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Solution

The third proportional to 720,598 and 1,564,267 is: 3,395,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,598 : 1,564,267 = 1,564,267 : x
  2. Step 2: Convert to fraction form
    720,598/1,564,267 = 1,564,267/x
  3. Step 3: Cross multiply
    720,598x = 1,564,267 × 1,564,267
  4. Step 4: Simplify right side
    720,598x = 2,446,931,247,289
  5. Step 5: Solve for x
    x = 2,446,931,247,289/720,598
  6. Step 6: Final answer
    x = 3,395,695.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.