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Finding the Third Proportional to 488,294 and 1,069,682

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Solution

The third proportional to 488,294 and 1,069,682 is: 2,343,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,294 : 1,069,682 = 1,069,682 : x
  2. Step 2: Convert to fraction form
    488,294/1,069,682 = 1,069,682/x
  3. Step 3: Cross multiply
    488,294x = 1,069,682 × 1,069,682
  4. Step 4: Simplify right side
    488,294x = 1,144,219,581,124
  5. Step 5: Solve for x
    x = 1,144,219,581,124/488,294
  6. Step 6: Final answer
    x = 2,343,300.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.