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Finding the Third Proportional to 602,130 and 886,561

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Solution

The third proportional to 602,130 and 886,561 is: 1,305,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,130 : 886,561 = 886,561 : x
  2. Step 2: Convert to fraction form
    602,130/886,561 = 886,561/x
  3. Step 3: Cross multiply
    602,130x = 886,561 × 886,561
  4. Step 4: Simplify right side
    602,130x = 785,990,406,721
  5. Step 5: Solve for x
    x = 785,990,406,721/602,130
  6. Step 6: Final answer
    x = 1,305,350.02

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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.