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Finding the Third Proportional to 923,428 and 1,387,818

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Solution

The third proportional to 923,428 and 1,387,818 is: 2,085,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,428 : 1,387,818 = 1,387,818 : x
  2. Step 2: Convert to fraction form
    923,428/1,387,818 = 1,387,818/x
  3. Step 3: Cross multiply
    923,428x = 1,387,818 × 1,387,818
  4. Step 4: Simplify right side
    923,428x = 1,926,038,801,124
  5. Step 5: Solve for x
    x = 1,926,038,801,124/923,428
  6. Step 6: Final answer
    x = 2,085,748.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.