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Finding the Third Proportional to 782,080 and 1,501,952

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Solution

The third proportional to 782,080 and 1,501,952 is: 2,884,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,080 : 1,501,952 = 1,501,952 : x
  2. Step 2: Convert to fraction form
    782,080/1,501,952 = 1,501,952/x
  3. Step 3: Cross multiply
    782,080x = 1,501,952 × 1,501,952
  4. Step 4: Simplify right side
    782,080x = 2,255,859,810,304
  5. Step 5: Solve for x
    x = 2,255,859,810,304/782,080
  6. Step 6: Final answer
    x = 2,884,436.13

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.