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Finding the Third Proportional to 1,531,386 and 2,252,853

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Solution

The third proportional to 1,531,386 and 2,252,853 is: 3,314,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,386 : 2,252,853 = 2,252,853 : x
  2. Step 2: Convert to fraction form
    1,531,386/2,252,853 = 2,252,853/x
  3. Step 3: Cross multiply
    1,531,386x = 2,252,853 × 2,252,853
  4. Step 4: Simplify right side
    1,531,386x = 5,075,346,639,609
  5. Step 5: Solve for x
    x = 5,075,346,639,609/1,531,386
  6. Step 6: Final answer
    x = 3,314,217.73

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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.