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Finding the Third Proportional to 1,657,778 and 2,476,431

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Solution

The third proportional to 1,657,778 and 2,476,431 is: 3,699,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,778 : 2,476,431 = 2,476,431 : x
  2. Step 2: Convert to fraction form
    1,657,778/2,476,431 = 2,476,431/x
  3. Step 3: Cross multiply
    1,657,778x = 2,476,431 × 2,476,431
  4. Step 4: Simplify right side
    1,657,778x = 6,132,710,497,761
  5. Step 5: Solve for x
    x = 6,132,710,497,761/1,657,778
  6. Step 6: Final answer
    x = 3,699,355.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.