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Finding the Third Proportional to 982,374 and 1,521,513

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Solution

The third proportional to 982,374 and 1,521,513 is: 2,356,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,374 : 1,521,513 = 1,521,513 : x
  2. Step 2: Convert to fraction form
    982,374/1,521,513 = 1,521,513/x
  3. Step 3: Cross multiply
    982,374x = 1,521,513 × 1,521,513
  4. Step 4: Simplify right side
    982,374x = 2,315,001,809,169
  5. Step 5: Solve for x
    x = 2,315,001,809,169/982,374
  6. Step 6: Final answer
    x = 2,356,538.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.