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Finding the Third Proportional to 1,158,676.88 and 1,696,534.88

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Solution

The third proportional to 1,158,676.88 and 1,696,534.88 is: 2,484,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,676.88 : 1,696,534.88 = 1,696,534.88 : x
  2. Step 2: Convert to fraction form
    1,158,676.88/1,696,534.88 = 1,696,534.88/x
  3. Step 3: Cross multiply
    1,158,676.88x = 1,696,534.88 × 1,696,534.88
  4. Step 4: Simplify right side
    1,158,676.88x = 2,878,230,582,091.27
  5. Step 5: Solve for x
    x = 2,878,230,582,091.27/1,158,676.88
  6. Step 6: Final answer
    x = 2,484,066.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.