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Finding the Third Proportional to 596,044 and 1,293,006

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Solution

The third proportional to 596,044 and 1,293,006 is: 2,804,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,044 : 1,293,006 = 1,293,006 : x
  2. Step 2: Convert to fraction form
    596,044/1,293,006 = 1,293,006/x
  3. Step 3: Cross multiply
    596,044x = 1,293,006 × 1,293,006
  4. Step 4: Simplify right side
    596,044x = 1,671,864,516,036
  5. Step 5: Solve for x
    x = 1,671,864,516,036/596,044
  6. Step 6: Final answer
    x = 2,804,934.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.