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Finding the Third Proportional to 569,352 and 1,232,208

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Solution

The third proportional to 569,352 and 1,232,208 is: 2,666,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,352 : 1,232,208 = 1,232,208 : x
  2. Step 2: Convert to fraction form
    569,352/1,232,208 = 1,232,208/x
  3. Step 3: Cross multiply
    569,352x = 1,232,208 × 1,232,208
  4. Step 4: Simplify right side
    569,352x = 1,518,336,555,264
  5. Step 5: Solve for x
    x = 1,518,336,555,264/569,352
  6. Step 6: Final answer
    x = 2,666,780.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.