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Finding the Third Proportional to 943,287 and 1,333,461

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Solution

The third proportional to 943,287 and 1,333,461 is: 1,885,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,287 : 1,333,461 = 1,333,461 : x
  2. Step 2: Convert to fraction form
    943,287/1,333,461 = 1,333,461/x
  3. Step 3: Cross multiply
    943,287x = 1,333,461 × 1,333,461
  4. Step 4: Simplify right side
    943,287x = 1,778,118,238,521
  5. Step 5: Solve for x
    x = 1,778,118,238,521/943,287
  6. Step 6: Final answer
    x = 1,885,023.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.