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Finding the Third Proportional to 2,823,498 and 4,261,572

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Solution

The third proportional to 2,823,498 and 4,261,572 is: 6,432,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823,498 : 4,261,572 = 4,261,572 : x
  2. Step 2: Convert to fraction form
    2,823,498/4,261,572 = 4,261,572/x
  3. Step 3: Cross multiply
    2,823,498x = 4,261,572 × 4,261,572
  4. Step 4: Simplify right side
    2,823,498x = 18,160,995,911,184
  5. Step 5: Solve for x
    x = 18,160,995,911,184/2,823,498
  6. Step 6: Final answer
    x = 6,432,090.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.