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Finding the Third Proportional to 746,345 and 1,590,262

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Solution

The third proportional to 746,345 and 1,590,262 is: 3,388,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,345 : 1,590,262 = 1,590,262 : x
  2. Step 2: Convert to fraction form
    746,345/1,590,262 = 1,590,262/x
  3. Step 3: Cross multiply
    746,345x = 1,590,262 × 1,590,262
  4. Step 4: Simplify right side
    746,345x = 2,528,933,228,644
  5. Step 5: Solve for x
    x = 2,528,933,228,644/746,345
  6. Step 6: Final answer
    x = 3,388,423.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.