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Finding the Third Proportional to 760,025 and 1,068,960

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Solution

The third proportional to 760,025 and 1,068,960 is: 1,503,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,025 : 1,068,960 = 1,068,960 : x
  2. Step 2: Convert to fraction form
    760,025/1,068,960 = 1,068,960/x
  3. Step 3: Cross multiply
    760,025x = 1,068,960 × 1,068,960
  4. Step 4: Simplify right side
    760,025x = 1,142,675,481,600
  5. Step 5: Solve for x
    x = 1,142,675,481,600/760,025
  6. Step 6: Final answer
    x = 1,503,470.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.