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Finding the Third Proportional to 1,386,294 and 2,031,381

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Solution

The third proportional to 1,386,294 and 2,031,381 is: 2,976,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,294 : 2,031,381 = 2,031,381 : x
  2. Step 2: Convert to fraction form
    1,386,294/2,031,381 = 2,031,381/x
  3. Step 3: Cross multiply
    1,386,294x = 2,031,381 × 2,031,381
  4. Step 4: Simplify right side
    1,386,294x = 4,126,508,767,161
  5. Step 5: Solve for x
    x = 4,126,508,767,161/1,386,294
  6. Step 6: Final answer
    x = 2,976,647.64

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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.