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Finding the Third Proportional to 438,356 and 944,428

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Solution

The third proportional to 438,356 and 944,428 is: 2,034,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,356 : 944,428 = 944,428 : x
  2. Step 2: Convert to fraction form
    438,356/944,428 = 944,428/x
  3. Step 3: Cross multiply
    438,356x = 944,428 × 944,428
  4. Step 4: Simplify right side
    438,356x = 891,944,247,184
  5. Step 5: Solve for x
    x = 891,944,247,184/438,356
  6. Step 6: Final answer
    x = 2,034,748.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.