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Finding the Third Proportional to 602,036 and 1,307,860

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Solution

The third proportional to 602,036 and 1,307,860 is: 2,841,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,036 : 1,307,860 = 1,307,860 : x
  2. Step 2: Convert to fraction form
    602,036/1,307,860 = 1,307,860/x
  3. Step 3: Cross multiply
    602,036x = 1,307,860 × 1,307,860
  4. Step 4: Simplify right side
    602,036x = 1,710,497,779,600
  5. Step 5: Solve for x
    x = 1,710,497,779,600/602,036
  6. Step 6: Final answer
    x = 2,841,188.53

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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.