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Finding the Third Proportional to 654,210 and 1,433,322

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Solution

The third proportional to 654,210 and 1,433,322 is: 3,140,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,210 : 1,433,322 = 1,433,322 : x
  2. Step 2: Convert to fraction form
    654,210/1,433,322 = 1,433,322/x
  3. Step 3: Cross multiply
    654,210x = 1,433,322 × 1,433,322
  4. Step 4: Simplify right side
    654,210x = 2,054,411,955,684
  5. Step 5: Solve for x
    x = 2,054,411,955,684/654,210
  6. Step 6: Final answer
    x = 3,140,294.33

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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.