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Finding the Third Proportional to 1,478,784 and 2,113,128

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Solution

The third proportional to 1,478,784 and 2,113,128 is: 3,019,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,784 : 2,113,128 = 2,113,128 : x
  2. Step 2: Convert to fraction form
    1,478,784/2,113,128 = 2,113,128/x
  3. Step 3: Cross multiply
    1,478,784x = 2,113,128 × 2,113,128
  4. Step 4: Simplify right side
    1,478,784x = 4,465,309,944,384
  5. Step 5: Solve for x
    x = 4,465,309,944,384/1,478,784
  6. Step 6: Final answer
    x = 3,019,582.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.