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Finding the Third Proportional to 817,587 and 1,276,038

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Solution

The third proportional to 817,587 and 1,276,038 is: 1,991,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,587 : 1,276,038 = 1,276,038 : x
  2. Step 2: Convert to fraction form
    817,587/1,276,038 = 1,276,038/x
  3. Step 3: Cross multiply
    817,587x = 1,276,038 × 1,276,038
  4. Step 4: Simplify right side
    817,587x = 1,628,272,977,444
  5. Step 5: Solve for x
    x = 1,628,272,977,444/817,587
  6. Step 6: Final answer
    x = 1,991,559.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.