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Finding the Third Proportional to 613,060.88 and 1,009,468.50

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Solution

The third proportional to 613,060.88 and 1,009,468.50 is: 1,662,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,060.88 : 1,009,468.50 = 1,009,468.50 : x
  2. Step 2: Convert to fraction form
    613,060.88/1,009,468.50 = 1,009,468.50/x
  3. Step 3: Cross multiply
    613,060.88x = 1,009,468.50 × 1,009,468.50
  4. Step 4: Simplify right side
    613,060.88x = 1,019,026,652,492.25
  5. Step 5: Solve for x
    x = 1,019,026,652,492.25/613,060.88
  6. Step 6: Final answer
    x = 1,662,194.89

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.