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Finding the Third Proportional to 3,069,184 and 4,646,382

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Solution

The third proportional to 3,069,184 and 4,646,382 is: 7,034,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069,184 : 4,646,382 = 4,646,382 : x
  2. Step 2: Convert to fraction form
    3,069,184/4,646,382 = 4,646,382/x
  3. Step 3: Cross multiply
    3,069,184x = 4,646,382 × 4,646,382
  4. Step 4: Simplify right side
    3,069,184x = 21,588,865,689,924
  5. Step 5: Solve for x
    x = 21,588,865,689,924/3,069,184
  6. Step 6: Final answer
    x = 7,034,073.45

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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.