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Finding the Third Proportional to 431,570 and 948,798

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Solution

The third proportional to 431,570 and 948,798 is: 2,085,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,570 : 948,798 = 948,798 : x
  2. Step 2: Convert to fraction form
    431,570/948,798 = 948,798/x
  3. Step 3: Cross multiply
    431,570x = 948,798 × 948,798
  4. Step 4: Simplify right side
    431,570x = 900,217,644,804
  5. Step 5: Solve for x
    x = 900,217,644,804/431,570
  6. Step 6: Final answer
    x = 2,085,913.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.