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Finding the Third Proportional to 727,726 and 1,042,048

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Solution

The third proportional to 727,726 and 1,042,048 is: 1,492,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,726 : 1,042,048 = 1,042,048 : x
  2. Step 2: Convert to fraction form
    727,726/1,042,048 = 1,042,048/x
  3. Step 3: Cross multiply
    727,726x = 1,042,048 × 1,042,048
  4. Step 4: Simplify right side
    727,726x = 1,085,864,034,304
  5. Step 5: Solve for x
    x = 1,085,864,034,304/727,726
  6. Step 6: Final answer
    x = 1,492,133.08

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.