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Finding the Third Proportional to 596,973 and 918,687

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Solution

The third proportional to 596,973 and 918,687 is: 1,413,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,973 : 918,687 = 918,687 : x
  2. Step 2: Convert to fraction form
    596,973/918,687 = 918,687/x
  3. Step 3: Cross multiply
    596,973x = 918,687 × 918,687
  4. Step 4: Simplify right side
    596,973x = 843,985,803,969
  5. Step 5: Solve for x
    x = 843,985,803,969/596,973
  6. Step 6: Final answer
    x = 1,413,775.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.