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Finding the Third Proportional to 657,815.63 and 1,417,144.50

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Solution

The third proportional to 657,815.63 and 1,417,144.50 is: 3,052,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,815.63 : 1,417,144.50 = 1,417,144.50 : x
  2. Step 2: Convert to fraction form
    657,815.63/1,417,144.50 = 1,417,144.50/x
  3. Step 3: Cross multiply
    657,815.63x = 1,417,144.50 × 1,417,144.50
  4. Step 4: Simplify right side
    657,815.63x = 2,008,298,533,880.25
  5. Step 5: Solve for x
    x = 2,008,298,533,880.25/657,815.63
  6. Step 6: Final answer
    x = 3,052,980.89

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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.