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Finding the Third Proportional to 1,248,943 and 2,947,319

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Solution

The third proportional to 1,248,943 and 2,947,319 is: 6,955,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,943 : 2,947,319 = 2,947,319 : x
  2. Step 2: Convert to fraction form
    1,248,943/2,947,319 = 2,947,319/x
  3. Step 3: Cross multiply
    1,248,943x = 2,947,319 × 2,947,319
  4. Step 4: Simplify right side
    1,248,943x = 8,686,689,287,761
  5. Step 5: Solve for x
    x = 8,686,689,287,761/1,248,943
  6. Step 6: Final answer
    x = 6,955,232.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.