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Finding the Third Proportional to 917,498 and 1,349,175

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Solution

The third proportional to 917,498 and 1,349,175 is: 1,983,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,498 : 1,349,175 = 1,349,175 : x
  2. Step 2: Convert to fraction form
    917,498/1,349,175 = 1,349,175/x
  3. Step 3: Cross multiply
    917,498x = 1,349,175 × 1,349,175
  4. Step 4: Simplify right side
    917,498x = 1,820,273,180,625
  5. Step 5: Solve for x
    x = 1,820,273,180,625/917,498
  6. Step 6: Final answer
    x = 1,983,953.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.