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Finding the Third Proportional to 999,515 and 1,461,785

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Solution

The third proportional to 999,515 and 1,461,785 is: 2,137,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,515 : 1,461,785 = 1,461,785 : x
  2. Step 2: Convert to fraction form
    999,515/1,461,785 = 1,461,785/x
  3. Step 3: Cross multiply
    999,515x = 1,461,785 × 1,461,785
  4. Step 4: Simplify right side
    999,515x = 2,136,815,386,225
  5. Step 5: Solve for x
    x = 2,136,815,386,225/999,515
  6. Step 6: Final answer
    x = 2,137,852.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.