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Finding the Third Proportional to 769,710 and 1,207,414.50

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Solution

The third proportional to 769,710 and 1,207,414.50 is: 1,894,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,710 : 1,207,414.50 = 1,207,414.50 : x
  2. Step 2: Convert to fraction form
    769,710/1,207,414.50 = 1,207,414.50/x
  3. Step 3: Cross multiply
    769,710x = 1,207,414.50 × 1,207,414.50
  4. Step 4: Simplify right side
    769,710x = 1,457,849,774,810.25
  5. Step 5: Solve for x
    x = 1,457,849,774,810.25/769,710
  6. Step 6: Final answer
    x = 1,894,024.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.