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Finding the Third Proportional to 766,076 and 1,159,778

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Solution

The third proportional to 766,076 and 1,159,778 is: 1,755,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,076 : 1,159,778 = 1,159,778 : x
  2. Step 2: Convert to fraction form
    766,076/1,159,778 = 1,159,778/x
  3. Step 3: Cross multiply
    766,076x = 1,159,778 × 1,159,778
  4. Step 4: Simplify right side
    766,076x = 1,345,085,009,284
  5. Step 5: Solve for x
    x = 1,345,085,009,284/766,076
  6. Step 6: Final answer
    x = 1,755,811.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.