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Finding the Third Proportional to 594,907 and 1,159,924

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Solution

The third proportional to 594,907 and 1,159,924 is: 2,261,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,907 : 1,159,924 = 1,159,924 : x
  2. Step 2: Convert to fraction form
    594,907/1,159,924 = 1,159,924/x
  3. Step 3: Cross multiply
    594,907x = 1,159,924 × 1,159,924
  4. Step 4: Simplify right side
    594,907x = 1,345,423,685,776
  5. Step 5: Solve for x
    x = 1,345,423,685,776/594,907
  6. Step 6: Final answer
    x = 2,261,569.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.