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Finding the Third Proportional to 2,205,374 and 4,748,648

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Solution

The third proportional to 2,205,374 and 4,748,648 is: 10,224,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,374 : 4,748,648 = 4,748,648 : x
  2. Step 2: Convert to fraction form
    2,205,374/4,748,648 = 4,748,648/x
  3. Step 3: Cross multiply
    2,205,374x = 4,748,648 × 4,748,648
  4. Step 4: Simplify right side
    2,205,374x = 22,549,657,827,904
  5. Step 5: Solve for x
    x = 22,549,657,827,904/2,205,374
  6. Step 6: Final answer
    x = 10,224,867.90

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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.