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Finding the Third Proportional to 465,390 and 1,005,048

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Solution

The third proportional to 465,390 and 1,005,048 is: 2,170,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,390 : 1,005,048 = 1,005,048 : x
  2. Step 2: Convert to fraction form
    465,390/1,005,048 = 1,005,048/x
  3. Step 3: Cross multiply
    465,390x = 1,005,048 × 1,005,048
  4. Step 4: Simplify right side
    465,390x = 1,010,121,482,304
  5. Step 5: Solve for x
    x = 1,010,121,482,304/465,390
  6. Step 6: Final answer
    x = 2,170,483.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.