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Finding the Third Proportional to 514,630 and 1,128,952

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Solution

The third proportional to 514,630 and 1,128,952 is: 2,476,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,630 : 1,128,952 = 1,128,952 : x
  2. Step 2: Convert to fraction form
    514,630/1,128,952 = 1,128,952/x
  3. Step 3: Cross multiply
    514,630x = 1,128,952 × 1,128,952
  4. Step 4: Simplify right side
    514,630x = 1,274,532,618,304
  5. Step 5: Solve for x
    x = 1,274,532,618,304/514,630
  6. Step 6: Final answer
    x = 2,476,599.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.