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Finding the Third Proportional to 586,502 and 1,307,788

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Solution

The third proportional to 586,502 and 1,307,788 is: 2,916,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,502 : 1,307,788 = 1,307,788 : x
  2. Step 2: Convert to fraction form
    586,502/1,307,788 = 1,307,788/x
  3. Step 3: Cross multiply
    586,502x = 1,307,788 × 1,307,788
  4. Step 4: Simplify right side
    586,502x = 1,710,309,452,944
  5. Step 5: Solve for x
    x = 1,710,309,452,944/586,502
  6. Step 6: Final answer
    x = 2,916,118.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.