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Finding the Third Proportional to 1,569,420 and 2,413,178

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Solution

The third proportional to 1,569,420 and 2,413,178 is: 3,710,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,420 : 2,413,178 = 2,413,178 : x
  2. Step 2: Convert to fraction form
    1,569,420/2,413,178 = 2,413,178/x
  3. Step 3: Cross multiply
    1,569,420x = 2,413,178 × 2,413,178
  4. Step 4: Simplify right side
    1,569,420x = 5,823,428,059,684
  5. Step 5: Solve for x
    x = 5,823,428,059,684/1,569,420
  6. Step 6: Final answer
    x = 3,710,560.63

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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.