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Finding the Third Proportional to 875,748 and 1,882,464

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Solution

The third proportional to 875,748 and 1,882,464 is: 4,046,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,748 : 1,882,464 = 1,882,464 : x
  2. Step 2: Convert to fraction form
    875,748/1,882,464 = 1,882,464/x
  3. Step 3: Cross multiply
    875,748x = 1,882,464 × 1,882,464
  4. Step 4: Simplify right side
    875,748x = 3,543,670,711,296
  5. Step 5: Solve for x
    x = 3,543,670,711,296/875,748
  6. Step 6: Final answer
    x = 4,046,450.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.