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Finding the Third Proportional to 772,128 and 1,163,862

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Solution

The third proportional to 772,128 and 1,163,862 is: 1,754,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,128 : 1,163,862 = 1,163,862 : x
  2. Step 2: Convert to fraction form
    772,128/1,163,862 = 1,163,862/x
  3. Step 3: Cross multiply
    772,128x = 1,163,862 × 1,163,862
  4. Step 4: Simplify right side
    772,128x = 1,354,574,755,044
  5. Step 5: Solve for x
    x = 1,354,574,755,044/772,128
  6. Step 6: Final answer
    x = 1,754,339.64

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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.