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Finding the Third Proportional to 712,617 and 1,537,338

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Solution

The third proportional to 712,617 and 1,537,338 is: 3,316,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,617 : 1,537,338 = 1,537,338 : x
  2. Step 2: Convert to fraction form
    712,617/1,537,338 = 1,537,338/x
  3. Step 3: Cross multiply
    712,617x = 1,537,338 × 1,537,338
  4. Step 4: Simplify right side
    712,617x = 2,363,408,126,244
  5. Step 5: Solve for x
    x = 2,363,408,126,244/712,617
  6. Step 6: Final answer
    x = 3,316,519.43

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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.