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Finding the Third Proportional to 565,654.50 and 1,219,822.50

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Solution

The third proportional to 565,654.50 and 1,219,822.50 is: 2,630,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,654.50 : 1,219,822.50 = 1,219,822.50 : x
  2. Step 2: Convert to fraction form
    565,654.50/1,219,822.50 = 1,219,822.50/x
  3. Step 3: Cross multiply
    565,654.50x = 1,219,822.50 × 1,219,822.50
  4. Step 4: Simplify right side
    565,654.50x = 1,487,966,931,506.25
  5. Step 5: Solve for x
    x = 1,487,966,931,506.25/565,654.50
  6. Step 6: Final answer
    x = 2,630,522.57

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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.