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Finding the Third Proportional to 569,312 and 1,226,592

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Solution

The third proportional to 569,312 and 1,226,592 is: 2,642,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,312 : 1,226,592 = 1,226,592 : x
  2. Step 2: Convert to fraction form
    569,312/1,226,592 = 1,226,592/x
  3. Step 3: Cross multiply
    569,312x = 1,226,592 × 1,226,592
  4. Step 4: Simplify right side
    569,312x = 1,504,527,934,464
  5. Step 5: Solve for x
    x = 1,504,527,934,464/569,312
  6. Step 6: Final answer
    x = 2,642,712.49

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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.