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Finding the Third Proportional to 691,044 and 1,046,229

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Solution

The third proportional to 691,044 and 1,046,229 is: 1,583,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,044 : 1,046,229 = 1,046,229 : x
  2. Step 2: Convert to fraction form
    691,044/1,046,229 = 1,046,229/x
  3. Step 3: Cross multiply
    691,044x = 1,046,229 × 1,046,229
  4. Step 4: Simplify right side
    691,044x = 1,094,595,120,441
  5. Step 5: Solve for x
    x = 1,094,595,120,441/691,044
  6. Step 6: Final answer
    x = 1,583,973.12

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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.