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Finding the Third Proportional to 586,772 and 1,285,537

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Solution

The third proportional to 586,772 and 1,285,537 is: 2,816,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,772 : 1,285,537 = 1,285,537 : x
  2. Step 2: Convert to fraction form
    586,772/1,285,537 = 1,285,537/x
  3. Step 3: Cross multiply
    586,772x = 1,285,537 × 1,285,537
  4. Step 4: Simplify right side
    586,772x = 1,652,605,378,369
  5. Step 5: Solve for x
    x = 1,652,605,378,369/586,772
  6. Step 6: Final answer
    x = 2,816,435.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.