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Finding the Third Proportional to 631,659.52 and 971,886.09

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Solution

The third proportional to 631,659.52 and 971,886.09 is: 1,495,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,659.52 : 971,886.09 = 971,886.09 : x
  2. Step 2: Convert to fraction form
    631,659.52/971,886.09 = 971,886.09/x
  3. Step 3: Cross multiply
    631,659.52x = 971,886.09 × 971,886.09
  4. Step 4: Simplify right side
    631,659.52x = 944,562,579,224.63
  5. Step 5: Solve for x
    x = 944,562,579,224.63/631,659.52
  6. Step 6: Final answer
    x = 1,495,366.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.