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Finding the Third Proportional to 1,428,768 and 2,161,520

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Solution

The third proportional to 1,428,768 and 2,161,520 is: 3,270,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,768 : 2,161,520 = 2,161,520 : x
  2. Step 2: Convert to fraction form
    1,428,768/2,161,520 = 2,161,520/x
  3. Step 3: Cross multiply
    1,428,768x = 2,161,520 × 2,161,520
  4. Step 4: Simplify right side
    1,428,768x = 4,672,168,710,400
  5. Step 5: Solve for x
    x = 4,672,168,710,400/1,428,768
  6. Step 6: Final answer
    x = 3,270,068.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.