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Finding the Third Proportional to 713,700 and 1,042,072

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Solution

The third proportional to 713,700 and 1,042,072 is: 1,521,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,700 : 1,042,072 = 1,042,072 : x
  2. Step 2: Convert to fraction form
    713,700/1,042,072 = 1,042,072/x
  3. Step 3: Cross multiply
    713,700x = 1,042,072 × 1,042,072
  4. Step 4: Simplify right side
    713,700x = 1,085,914,053,184
  5. Step 5: Solve for x
    x = 1,085,914,053,184/713,700
  6. Step 6: Final answer
    x = 1,521,527.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.