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Finding the Third Proportional to 977,032.13 and 2,121,174

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Solution

The third proportional to 977,032.13 and 2,121,174 is: 4,605,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,032.13 : 2,121,174 = 2,121,174 : x
  2. Step 2: Convert to fraction form
    977,032.13/2,121,174 = 2,121,174/x
  3. Step 3: Cross multiply
    977,032.13x = 2,121,174 × 2,121,174
  4. Step 4: Simplify right side
    977,032.13x = 4,499,379,138,276
  5. Step 5: Solve for x
    x = 4,499,379,138,276/977,032.13
  6. Step 6: Final answer
    x = 4,605,149.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.