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Finding the Third Proportional to 494,044 and 1,064,300

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Solution

The third proportional to 494,044 and 1,064,300 is: 2,292,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,044 : 1,064,300 = 1,064,300 : x
  2. Step 2: Convert to fraction form
    494,044/1,064,300 = 1,064,300/x
  3. Step 3: Cross multiply
    494,044x = 1,064,300 × 1,064,300
  4. Step 4: Simplify right side
    494,044x = 1,132,734,490,000
  5. Step 5: Solve for x
    x = 1,132,734,490,000/494,044
  6. Step 6: Final answer
    x = 2,292,780.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.