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Finding the Third Proportional to 944,542 and 2,038,352

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Solution

The third proportional to 944,542 and 2,038,352 is: 4,398,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,542 : 2,038,352 = 2,038,352 : x
  2. Step 2: Convert to fraction form
    944,542/2,038,352 = 2,038,352/x
  3. Step 3: Cross multiply
    944,542x = 2,038,352 × 2,038,352
  4. Step 4: Simplify right side
    944,542x = 4,154,878,875,904
  5. Step 5: Solve for x
    x = 4,154,878,875,904/944,542
  6. Step 6: Final answer
    x = 4,398,829.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.