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Finding the Third Proportional to 1,564,160 and 3,003,904

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Solution

The third proportional to 1,564,160 and 3,003,904 is: 5,768,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,160 : 3,003,904 = 3,003,904 : x
  2. Step 2: Convert to fraction form
    1,564,160/3,003,904 = 3,003,904/x
  3. Step 3: Cross multiply
    1,564,160x = 3,003,904 × 3,003,904
  4. Step 4: Simplify right side
    1,564,160x = 9,023,439,241,216
  5. Step 5: Solve for x
    x = 9,023,439,241,216/1,564,160
  6. Step 6: Final answer
    x = 5,768,872.26

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.