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Finding the Third Proportional to 780,516 and 1,176,930

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Solution

The third proportional to 780,516 and 1,176,930 is: 1,774,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,516 : 1,176,930 = 1,176,930 : x
  2. Step 2: Convert to fraction form
    780,516/1,176,930 = 1,176,930/x
  3. Step 3: Cross multiply
    780,516x = 1,176,930 × 1,176,930
  4. Step 4: Simplify right side
    780,516x = 1,385,164,224,900
  5. Step 5: Solve for x
    x = 1,385,164,224,900/780,516
  6. Step 6: Final answer
    x = 1,774,677.55

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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.