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Finding the Third Proportional to 586,770 and 1,285,533

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Solution

The third proportional to 586,770 and 1,285,533 is: 2,816,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,770 : 1,285,533 = 1,285,533 : x
  2. Step 2: Convert to fraction form
    586,770/1,285,533 = 1,285,533/x
  3. Step 3: Cross multiply
    586,770x = 1,285,533 × 1,285,533
  4. Step 4: Simplify right side
    586,770x = 1,652,595,094,089
  5. Step 5: Solve for x
    x = 1,652,595,094,089/586,770
  6. Step 6: Final answer
    x = 2,816,427.38

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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.