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Finding the Third Proportional to 710,055 and 1,533,834

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Solution

The third proportional to 710,055 and 1,533,834 is: 3,313,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,055 : 1,533,834 = 1,533,834 : x
  2. Step 2: Convert to fraction form
    710,055/1,533,834 = 1,533,834/x
  3. Step 3: Cross multiply
    710,055x = 1,533,834 × 1,533,834
  4. Step 4: Simplify right side
    710,055x = 2,352,646,739,556
  5. Step 5: Solve for x
    x = 2,352,646,739,556/710,055
  6. Step 6: Final answer
    x = 3,313,330.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.