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Finding the Third Proportional to 1,047,924 and 1,577,988

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Solution

The third proportional to 1,047,924 and 1,577,988 is: 2,376,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,924 : 1,577,988 = 1,577,988 : x
  2. Step 2: Convert to fraction form
    1,047,924/1,577,988 = 1,577,988/x
  3. Step 3: Cross multiply
    1,047,924x = 1,577,988 × 1,577,988
  4. Step 4: Simplify right side
    1,047,924x = 2,490,046,128,144
  5. Step 5: Solve for x
    x = 2,490,046,128,144/1,047,924
  6. Step 6: Final answer
    x = 2,376,170.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.