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Finding the Third Proportional to 972,369 and 1,538,466

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Solution

The third proportional to 972,369 and 1,538,466 is: 2,434,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,369 : 1,538,466 = 1,538,466 : x
  2. Step 2: Convert to fraction form
    972,369/1,538,466 = 1,538,466/x
  3. Step 3: Cross multiply
    972,369x = 1,538,466 × 1,538,466
  4. Step 4: Simplify right side
    972,369x = 2,366,877,633,156
  5. Step 5: Solve for x
    x = 2,366,877,633,156/972,369
  6. Step 6: Final answer
    x = 2,434,135.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.