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Finding the Third Proportional to 1,678,394 and 2,531,526

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Solution

The third proportional to 1,678,394 and 2,531,526 is: 3,818,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,394 : 2,531,526 = 2,531,526 : x
  2. Step 2: Convert to fraction form
    1,678,394/2,531,526 = 2,531,526/x
  3. Step 3: Cross multiply
    1,678,394x = 2,531,526 × 2,531,526
  4. Step 4: Simplify right side
    1,678,394x = 6,408,623,888,676
  5. Step 5: Solve for x
    x = 6,408,623,888,676/1,678,394
  6. Step 6: Final answer
    x = 3,818,307.20

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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.