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Finding the Third Proportional to 1,614,681 and 3,806,257

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Solution

The third proportional to 1,614,681 and 3,806,257 is: 8,972,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,681 : 3,806,257 = 3,806,257 : x
  2. Step 2: Convert to fraction form
    1,614,681/3,806,257 = 3,806,257/x
  3. Step 3: Cross multiply
    1,614,681x = 3,806,257 × 3,806,257
  4. Step 4: Simplify right side
    1,614,681x = 14,487,592,350,049
  5. Step 5: Solve for x
    x = 14,487,592,350,049/1,614,681
  6. Step 6: Final answer
    x = 8,972,417.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.