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Finding the Third Proportional to 653,282 and 1,026,579

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Solution

The third proportional to 653,282 and 1,026,579 is: 1,613,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,282 : 1,026,579 = 1,026,579 : x
  2. Step 2: Convert to fraction form
    653,282/1,026,579 = 1,026,579/x
  3. Step 3: Cross multiply
    653,282x = 1,026,579 × 1,026,579
  4. Step 4: Simplify right side
    653,282x = 1,053,864,443,241
  5. Step 5: Solve for x
    x = 1,053,864,443,241/653,282
  6. Step 6: Final answer
    x = 1,613,184.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.