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Finding the Third Proportional to 1,705,952 and 3,648,128

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Solution

The third proportional to 1,705,952 and 3,648,128 is: 7,801,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,952 : 3,648,128 = 3,648,128 : x
  2. Step 2: Convert to fraction form
    1,705,952/3,648,128 = 3,648,128/x
  3. Step 3: Cross multiply
    1,705,952x = 3,648,128 × 3,648,128
  4. Step 4: Simplify right side
    1,705,952x = 13,308,837,904,384
  5. Step 5: Solve for x
    x = 13,308,837,904,384/1,705,952
  6. Step 6: Final answer
    x = 7,801,414.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.