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Finding the Third Proportional to 602,060 and 1,307,764

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Solution

The third proportional to 602,060 and 1,307,764 is: 2,840,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,060 : 1,307,764 = 1,307,764 : x
  2. Step 2: Convert to fraction form
    602,060/1,307,764 = 1,307,764/x
  3. Step 3: Cross multiply
    602,060x = 1,307,764 × 1,307,764
  4. Step 4: Simplify right side
    602,060x = 1,710,246,679,696
  5. Step 5: Solve for x
    x = 1,710,246,679,696/602,060
  6. Step 6: Final answer
    x = 2,840,658.21

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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.