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Finding the Third Proportional to 595,656 and 1,298,412

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Solution

The third proportional to 595,656 and 1,298,412 is: 2,830,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,656 : 1,298,412 = 1,298,412 : x
  2. Step 2: Convert to fraction form
    595,656/1,298,412 = 1,298,412/x
  3. Step 3: Cross multiply
    595,656x = 1,298,412 × 1,298,412
  4. Step 4: Simplify right side
    595,656x = 1,685,873,721,744
  5. Step 5: Solve for x
    x = 1,685,873,721,744/595,656
  6. Step 6: Final answer
    x = 2,830,280.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.