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Finding the Third Proportional to 577,897 and 1,248,339

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Solution

The third proportional to 577,897 and 1,248,339 is: 2,696,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,897 : 1,248,339 = 1,248,339 : x
  2. Step 2: Convert to fraction form
    577,897/1,248,339 = 1,248,339/x
  3. Step 3: Cross multiply
    577,897x = 1,248,339 × 1,248,339
  4. Step 4: Simplify right side
    577,897x = 1,558,350,258,921
  5. Step 5: Solve for x
    x = 1,558,350,258,921/577,897
  6. Step 6: Final answer
    x = 2,696,588.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.