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Finding the Third Proportional to 1,602,720 and 2,464,560

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Solution

The third proportional to 1,602,720 and 2,464,560 is: 3,789,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,720 : 2,464,560 = 2,464,560 : x
  2. Step 2: Convert to fraction form
    1,602,720/2,464,560 = 2,464,560/x
  3. Step 3: Cross multiply
    1,602,720x = 2,464,560 × 2,464,560
  4. Step 4: Simplify right side
    1,602,720x = 6,074,055,993,600
  5. Step 5: Solve for x
    x = 6,074,055,993,600/1,602,720
  6. Step 6: Final answer
    x = 3,789,842.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.