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Finding the Third Proportional to 1,152,954 and 1,832,068.13

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Solution

The third proportional to 1,152,954 and 1,832,068.13 is: 2,911,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,954 : 1,832,068.13 = 1,832,068.13 : x
  2. Step 2: Convert to fraction form
    1,152,954/1,832,068.13 = 1,832,068.13/x
  3. Step 3: Cross multiply
    1,152,954x = 1,832,068.13 × 1,832,068.13
  4. Step 4: Simplify right side
    1,152,954x = 3,356,473,614,641.02
  5. Step 5: Solve for x
    x = 3,356,473,614,641.02/1,152,954
  6. Step 6: Final answer
    x = 2,911,194.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.