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Finding the Third Proportional to 2,053,412 and 3,173,430

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Solution

The third proportional to 2,053,412 and 3,173,430 is: 4,904,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,412 : 3,173,430 = 3,173,430 : x
  2. Step 2: Convert to fraction form
    2,053,412/3,173,430 = 3,173,430/x
  3. Step 3: Cross multiply
    2,053,412x = 3,173,430 × 3,173,430
  4. Step 4: Simplify right side
    2,053,412x = 10,070,657,964,900
  5. Step 5: Solve for x
    x = 10,070,657,964,900/2,053,412
  6. Step 6: Final answer
    x = 4,904,353.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.