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Finding the Third Proportional to 976,447 and 1,478,440.50

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Solution

The third proportional to 976,447 and 1,478,440.50 is: 2,238,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,447 : 1,478,440.50 = 1,478,440.50 : x
  2. Step 2: Convert to fraction form
    976,447/1,478,440.50 = 1,478,440.50/x
  3. Step 3: Cross multiply
    976,447x = 1,478,440.50 × 1,478,440.50
  4. Step 4: Simplify right side
    976,447x = 2,185,786,312,040.25
  5. Step 5: Solve for x
    x = 2,185,786,312,040.25/976,447
  6. Step 6: Final answer
    x = 2,238,509.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.