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Finding the Third Proportional to 971,560 and 1,358,614

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Solution

The third proportional to 971,560 and 1,358,614 is: 1,899,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,560 : 1,358,614 = 1,358,614 : x
  2. Step 2: Convert to fraction form
    971,560/1,358,614 = 1,358,614/x
  3. Step 3: Cross multiply
    971,560x = 1,358,614 × 1,358,614
  4. Step 4: Simplify right side
    971,560x = 1,845,832,000,996
  5. Step 5: Solve for x
    x = 1,845,832,000,996/971,560
  6. Step 6: Final answer
    x = 1,899,864.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.