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Finding the Third Proportional to 710,342 and 1,521,574

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Solution

The third proportional to 710,342 and 1,521,574 is: 3,259,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,342 : 1,521,574 = 1,521,574 : x
  2. Step 2: Convert to fraction form
    710,342/1,521,574 = 1,521,574/x
  3. Step 3: Cross multiply
    710,342x = 1,521,574 × 1,521,574
  4. Step 4: Simplify right side
    710,342x = 2,315,187,437,476
  5. Step 5: Solve for x
    x = 2,315,187,437,476/710,342
  6. Step 6: Final answer
    x = 3,259,257.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.