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Finding the Third Proportional to 899,870 and 1,265,784

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Solution

The third proportional to 899,870 and 1,265,784 is: 1,780,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,870 : 1,265,784 = 1,265,784 : x
  2. Step 2: Convert to fraction form
    899,870/1,265,784 = 1,265,784/x
  3. Step 3: Cross multiply
    899,870x = 1,265,784 × 1,265,784
  4. Step 4: Simplify right side
    899,870x = 1,602,209,134,656
  5. Step 5: Solve for x
    x = 1,602,209,134,656/899,870
  6. Step 6: Final answer
    x = 1,780,489.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.