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Finding the Third Proportional to 410,152 and 900,952

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Solution

The third proportional to 410,152 and 900,952 is: 1,979,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,152 : 900,952 = 900,952 : x
  2. Step 2: Convert to fraction form
    410,152/900,952 = 900,952/x
  3. Step 3: Cross multiply
    410,152x = 900,952 × 900,952
  4. Step 4: Simplify right side
    410,152x = 811,714,506,304
  5. Step 5: Solve for x
    x = 811,714,506,304/410,152
  6. Step 6: Final answer
    x = 1,979,057.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.