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Finding the Third Proportional to 921,615.47 and 1,430,947.27

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Solution

The third proportional to 921,615.47 and 1,430,947.27 is: 2,221,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,615.47 : 1,430,947.27 = 1,430,947.27 : x
  2. Step 2: Convert to fraction form
    921,615.47/1,430,947.27 = 1,430,947.27/x
  3. Step 3: Cross multiply
    921,615.47x = 1,430,947.27 × 1,430,947.27
  4. Step 4: Simplify right side
    921,615.47x = 2,047,610,076,999.66
  5. Step 5: Solve for x
    x = 2,047,610,076,999.66/921,615.47
  6. Step 6: Final answer
    x = 2,221,761.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.