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Finding the Third Proportional to 647,352 and 971,038.13

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Solution

The third proportional to 647,352 and 971,038.13 is: 1,456,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,352 : 971,038.13 = 971,038.13 : x
  2. Step 2: Convert to fraction form
    647,352/971,038.13 = 971,038.13/x
  3. Step 3: Cross multiply
    647,352x = 971,038.13 × 971,038.13
  4. Step 4: Simplify right side
    647,352x = 942,915,040,203.52
  5. Step 5: Solve for x
    x = 942,915,040,203.52/647,352
  6. Step 6: Final answer
    x = 1,456,572.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.