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Finding the Third Proportional to 470,013 and 964,908

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Solution

The third proportional to 470,013 and 964,908 is: 1,980,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,013 : 964,908 = 964,908 : x
  2. Step 2: Convert to fraction form
    470,013/964,908 = 964,908/x
  3. Step 3: Cross multiply
    470,013x = 964,908 × 964,908
  4. Step 4: Simplify right side
    470,013x = 931,047,448,464
  5. Step 5: Solve for x
    x = 931,047,448,464/470,013
  6. Step 6: Final answer
    x = 1,980,897.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.