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Finding the Third Proportional to 653,070.09 and 989,458.03

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Solution

The third proportional to 653,070.09 and 989,458.03 is: 1,499,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,070.09 : 989,458.03 = 989,458.03 : x
  2. Step 2: Convert to fraction form
    653,070.09/989,458.03 = 989,458.03/x
  3. Step 3: Cross multiply
    653,070.09x = 989,458.03 × 989,458.03
  4. Step 4: Simplify right side
    653,070.09x = 979,027,195,605.13
  5. Step 5: Solve for x
    x = 979,027,195,605.13/653,070.09
  6. Step 6: Final answer
    x = 1,499,115.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.