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Finding the Third Proportional to 3,069,120 and 4,646,328

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Solution

The third proportional to 3,069,120 and 4,646,328 is: 7,034,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069,120 : 4,646,328 = 4,646,328 : x
  2. Step 2: Convert to fraction form
    3,069,120/4,646,328 = 4,646,328/x
  3. Step 3: Cross multiply
    3,069,120x = 4,646,328 × 4,646,328
  4. Step 4: Simplify right side
    3,069,120x = 21,588,363,883,584
  5. Step 5: Solve for x
    x = 21,588,363,883,584/3,069,120
  6. Step 6: Final answer
    x = 7,034,056.63

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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.