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Finding the Third Proportional to 913,992 and 1,459,548

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Solution

The third proportional to 913,992 and 1,459,548 is: 2,330,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,992 : 1,459,548 = 1,459,548 : x
  2. Step 2: Convert to fraction form
    913,992/1,459,548 = 1,459,548/x
  3. Step 3: Cross multiply
    913,992x = 1,459,548 × 1,459,548
  4. Step 4: Simplify right side
    913,992x = 2,130,280,364,304
  5. Step 5: Solve for x
    x = 2,130,280,364,304/913,992
  6. Step 6: Final answer
    x = 2,330,742.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.