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Finding the Third Proportional to 646,974 and 1,407,312

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Solution

The third proportional to 646,974 and 1,407,312 is: 3,061,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,974 : 1,407,312 = 1,407,312 : x
  2. Step 2: Convert to fraction form
    646,974/1,407,312 = 1,407,312/x
  3. Step 3: Cross multiply
    646,974x = 1,407,312 × 1,407,312
  4. Step 4: Simplify right side
    646,974x = 1,980,527,065,344
  5. Step 5: Solve for x
    x = 1,980,527,065,344/646,974
  6. Step 6: Final answer
    x = 3,061,215.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.