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Finding the Third Proportional to 473,840 and 1,118,572

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Solution

The third proportional to 473,840 and 1,118,572 is: 2,640,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,840 : 1,118,572 = 1,118,572 : x
  2. Step 2: Convert to fraction form
    473,840/1,118,572 = 1,118,572/x
  3. Step 3: Cross multiply
    473,840x = 1,118,572 × 1,118,572
  4. Step 4: Simplify right side
    473,840x = 1,251,203,319,184
  5. Step 5: Solve for x
    x = 1,251,203,319,184/473,840
  6. Step 6: Final answer
    x = 2,640,560.78

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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.