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Finding the Third Proportional to 607,454 and 943,018

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Solution

The third proportional to 607,454 and 943,018 is: 1,463,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,454 : 943,018 = 943,018 : x
  2. Step 2: Convert to fraction form
    607,454/943,018 = 943,018/x
  3. Step 3: Cross multiply
    607,454x = 943,018 × 943,018
  4. Step 4: Simplify right side
    607,454x = 889,282,948,324
  5. Step 5: Solve for x
    x = 889,282,948,324/607,454
  6. Step 6: Final answer
    x = 1,463,951.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.