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Finding the Third Proportional to 513,561 and 1,145,139

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Solution

The third proportional to 513,561 and 1,145,139 is: 2,553,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,561 : 1,145,139 = 1,145,139 : x
  2. Step 2: Convert to fraction form
    513,561/1,145,139 = 1,145,139/x
  3. Step 3: Cross multiply
    513,561x = 1,145,139 × 1,145,139
  4. Step 4: Simplify right side
    513,561x = 1,311,343,329,321
  5. Step 5: Solve for x
    x = 1,311,343,329,321/513,561
  6. Step 6: Final answer
    x = 2,553,432.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.