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Finding the Third Proportional to 2,417,843 and 3,657,862

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Solution

The third proportional to 2,417,843 and 3,657,862 is: 5,533,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417,843 : 3,657,862 = 3,657,862 : x
  2. Step 2: Convert to fraction form
    2,417,843/3,657,862 = 3,657,862/x
  3. Step 3: Cross multiply
    2,417,843x = 3,657,862 × 3,657,862
  4. Step 4: Simplify right side
    2,417,843x = 13,379,954,411,044
  5. Step 5: Solve for x
    x = 13,379,954,411,044/2,417,843
  6. Step 6: Final answer
    x = 5,533,839.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.