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Finding the Third Proportional to 565,077 and 1,239,894.50

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Solution

The third proportional to 565,077 and 1,239,894.50 is: 2,720,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,077 : 1,239,894.50 = 1,239,894.50 : x
  2. Step 2: Convert to fraction form
    565,077/1,239,894.50 = 1,239,894.50/x
  3. Step 3: Cross multiply
    565,077x = 1,239,894.50 × 1,239,894.50
  4. Step 4: Simplify right side
    565,077x = 1,537,338,371,130.25
  5. Step 5: Solve for x
    x = 1,537,338,371,130.25/565,077
  6. Step 6: Final answer
    x = 2,720,582.10

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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.