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Finding the Third Proportional to 916,870 and 1,377,037

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Solution

The third proportional to 916,870 and 1,377,037 is: 2,068,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,870 : 1,377,037 = 1,377,037 : x
  2. Step 2: Convert to fraction form
    916,870/1,377,037 = 1,377,037/x
  3. Step 3: Cross multiply
    916,870x = 1,377,037 × 1,377,037
  4. Step 4: Simplify right side
    916,870x = 1,896,230,899,369
  5. Step 5: Solve for x
    x = 1,896,230,899,369/916,870
  6. Step 6: Final answer
    x = 2,068,156.77

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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.