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Finding the Third Proportional to 562,527 and 1,145,943

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Solution

The third proportional to 562,527 and 1,145,943 is: 2,334,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,527 : 1,145,943 = 1,145,943 : x
  2. Step 2: Convert to fraction form
    562,527/1,145,943 = 1,145,943/x
  3. Step 3: Cross multiply
    562,527x = 1,145,943 × 1,145,943
  4. Step 4: Simplify right side
    562,527x = 1,313,185,359,249
  5. Step 5: Solve for x
    x = 1,313,185,359,249/562,527
  6. Step 6: Final answer
    x = 2,334,439.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.