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Finding the Third Proportional to 713,897 and 1,558,019

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Solution

The third proportional to 713,897 and 1,558,019 is: 3,400,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,897 : 1,558,019 = 1,558,019 : x
  2. Step 2: Convert to fraction form
    713,897/1,558,019 = 1,558,019/x
  3. Step 3: Cross multiply
    713,897x = 1,558,019 × 1,558,019
  4. Step 4: Simplify right side
    713,897x = 2,427,423,204,361
  5. Step 5: Solve for x
    x = 2,427,423,204,361/713,897
  6. Step 6: Final answer
    x = 3,400,242.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.