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Finding the Third Proportional to 598,706 and 1,280,428

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Solution

The third proportional to 598,706 and 1,280,428 is: 2,738,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,706 : 1,280,428 = 1,280,428 : x
  2. Step 2: Convert to fraction form
    598,706/1,280,428 = 1,280,428/x
  3. Step 3: Cross multiply
    598,706x = 1,280,428 × 1,280,428
  4. Step 4: Simplify right side
    598,706x = 1,639,495,863,184
  5. Step 5: Solve for x
    x = 1,639,495,863,184/598,706
  6. Step 6: Final answer
    x = 2,738,398.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.