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Finding the Third Proportional to 772,088 and 1,164,207

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Solution

The third proportional to 772,088 and 1,164,207 is: 1,755,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,088 : 1,164,207 = 1,164,207 : x
  2. Step 2: Convert to fraction form
    772,088/1,164,207 = 1,164,207/x
  3. Step 3: Cross multiply
    772,088x = 1,164,207 × 1,164,207
  4. Step 4: Simplify right side
    772,088x = 1,355,377,938,849
  5. Step 5: Solve for x
    x = 1,355,377,938,849/772,088
  6. Step 6: Final answer
    x = 1,755,470.80

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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.