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Finding the Third Proportional to 897,952 and 1,394,146

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Solution

The third proportional to 897,952 and 1,394,146 is: 2,164,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,952 : 1,394,146 = 1,394,146 : x
  2. Step 2: Convert to fraction form
    897,952/1,394,146 = 1,394,146/x
  3. Step 3: Cross multiply
    897,952x = 1,394,146 × 1,394,146
  4. Step 4: Simplify right side
    897,952x = 1,943,643,069,316
  5. Step 5: Solve for x
    x = 1,943,643,069,316/897,952
  6. Step 6: Final answer
    x = 2,164,528.92

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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.