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Finding the Third Proportional to 772,004 and 1,701,076

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Solution

The third proportional to 772,004 and 1,701,076 is: 3,748,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,004 : 1,701,076 = 1,701,076 : x
  2. Step 2: Convert to fraction form
    772,004/1,701,076 = 1,701,076/x
  3. Step 3: Cross multiply
    772,004x = 1,701,076 × 1,701,076
  4. Step 4: Simplify right side
    772,004x = 2,893,659,557,776
  5. Step 5: Solve for x
    x = 2,893,659,557,776/772,004
  6. Step 6: Final answer
    x = 3,748,244.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.