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Finding the Third Proportional to 877,123 and 1,312,105

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Solution

The third proportional to 877,123 and 1,312,105 is: 1,962,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,123 : 1,312,105 = 1,312,105 : x
  2. Step 2: Convert to fraction form
    877,123/1,312,105 = 1,312,105/x
  3. Step 3: Cross multiply
    877,123x = 1,312,105 × 1,312,105
  4. Step 4: Simplify right side
    877,123x = 1,721,619,531,025
  5. Step 5: Solve for x
    x = 1,721,619,531,025/877,123
  6. Step 6: Final answer
    x = 1,962,802.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.