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Finding the Third Proportional to 1,070,824 and 1,988,432

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Solution

The third proportional to 1,070,824 and 1,988,432 is: 3,692,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,824 : 1,988,432 = 1,988,432 : x
  2. Step 2: Convert to fraction form
    1,070,824/1,988,432 = 1,988,432/x
  3. Step 3: Cross multiply
    1,070,824x = 1,988,432 × 1,988,432
  4. Step 4: Simplify right side
    1,070,824x = 3,953,861,818,624
  5. Step 5: Solve for x
    x = 3,953,861,818,624/1,070,824
  6. Step 6: Final answer
    x = 3,692,354.50

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.