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Finding the Third Proportional to 589,044 and 1,256,778

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Solution

The third proportional to 589,044 and 1,256,778 is: 2,681,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,044 : 1,256,778 = 1,256,778 : x
  2. Step 2: Convert to fraction form
    589,044/1,256,778 = 1,256,778/x
  3. Step 3: Cross multiply
    589,044x = 1,256,778 × 1,256,778
  4. Step 4: Simplify right side
    589,044x = 1,579,490,941,284
  5. Step 5: Solve for x
    x = 1,579,490,941,284/589,044
  6. Step 6: Final answer
    x = 2,681,448.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.