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Finding the Third Proportional to 700,405 and 1,053,433

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Solution

The third proportional to 700,405 and 1,053,433 is: 1,584,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,405 : 1,053,433 = 1,053,433 : x
  2. Step 2: Convert to fraction form
    700,405/1,053,433 = 1,053,433/x
  3. Step 3: Cross multiply
    700,405x = 1,053,433 × 1,053,433
  4. Step 4: Simplify right side
    700,405x = 1,109,721,085,489
  5. Step 5: Solve for x
    x = 1,109,721,085,489/700,405
  6. Step 6: Final answer
    x = 1,584,399.15

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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.