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Finding the Third Proportional to 745,612 and 1,182,541

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Solution

The third proportional to 745,612 and 1,182,541 is: 1,875,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,612 : 1,182,541 = 1,182,541 : x
  2. Step 2: Convert to fraction form
    745,612/1,182,541 = 1,182,541/x
  3. Step 3: Cross multiply
    745,612x = 1,182,541 × 1,182,541
  4. Step 4: Simplify right side
    745,612x = 1,398,403,216,681
  5. Step 5: Solve for x
    x = 1,398,403,216,681/745,612
  6. Step 6: Final answer
    x = 1,875,510.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.