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Finding the Third Proportional to 697,374 and 1,473,084

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Solution

The third proportional to 697,374 and 1,473,084 is: 3,111,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,374 : 1,473,084 = 1,473,084 : x
  2. Step 2: Convert to fraction form
    697,374/1,473,084 = 1,473,084/x
  3. Step 3: Cross multiply
    697,374x = 1,473,084 × 1,473,084
  4. Step 4: Simplify right side
    697,374x = 2,169,976,471,056
  5. Step 5: Solve for x
    x = 2,169,976,471,056/697,374
  6. Step 6: Final answer
    x = 3,111,639.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.