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Finding the Third Proportional to 1,456,380 and 2,970,594

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Solution

The third proportional to 1,456,380 and 2,970,594 is: 6,059,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,380 : 2,970,594 = 2,970,594 : x
  2. Step 2: Convert to fraction form
    1,456,380/2,970,594 = 2,970,594/x
  3. Step 3: Cross multiply
    1,456,380x = 2,970,594 × 2,970,594
  4. Step 4: Simplify right side
    1,456,380x = 8,824,428,712,836
  5. Step 5: Solve for x
    x = 8,824,428,712,836/1,456,380
  6. Step 6: Final answer
    x = 6,059,152.63

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.