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Finding the Third Proportional to 720,602 and 1,564,275

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Solution

The third proportional to 720,602 and 1,564,275 is: 3,395,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,602 : 1,564,275 = 1,564,275 : x
  2. Step 2: Convert to fraction form
    720,602/1,564,275 = 1,564,275/x
  3. Step 3: Cross multiply
    720,602x = 1,564,275 × 1,564,275
  4. Step 4: Simplify right side
    720,602x = 2,446,956,275,625
  5. Step 5: Solve for x
    x = 2,446,956,275,625/720,602
  6. Step 6: Final answer
    x = 3,395,711.19

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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.