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Finding the Third Proportional to 765,846 and 1,073,206

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Solution

The third proportional to 765,846 and 1,073,206 is: 1,503,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,846 : 1,073,206 = 1,073,206 : x
  2. Step 2: Convert to fraction form
    765,846/1,073,206 = 1,073,206/x
  3. Step 3: Cross multiply
    765,846x = 1,073,206 × 1,073,206
  4. Step 4: Simplify right side
    765,846x = 1,151,771,118,436
  5. Step 5: Solve for x
    x = 1,151,771,118,436/765,846
  6. Step 6: Final answer
    x = 1,503,920.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.