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Finding the Third Proportional to 897,261 and 1,346,548

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Solution

The third proportional to 897,261 and 1,346,548 is: 2,020,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,261 : 1,346,548 = 1,346,548 : x
  2. Step 2: Convert to fraction form
    897,261/1,346,548 = 1,346,548/x
  3. Step 3: Cross multiply
    897,261x = 1,346,548 × 1,346,548
  4. Step 4: Simplify right side
    897,261x = 1,813,191,516,304
  5. Step 5: Solve for x
    x = 1,813,191,516,304/897,261
  6. Step 6: Final answer
    x = 2,020,807.23

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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.