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Finding the Third Proportional to 2,009,053 and 3,032,263

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Solution

The third proportional to 2,009,053 and 3,032,263 is: 4,576,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,053 : 3,032,263 = 3,032,263 : x
  2. Step 2: Convert to fraction form
    2,009,053/3,032,263 = 3,032,263/x
  3. Step 3: Cross multiply
    2,009,053x = 3,032,263 × 3,032,263
  4. Step 4: Simplify right side
    2,009,053x = 9,194,618,901,169
  5. Step 5: Solve for x
    x = 9,194,618,901,169/2,009,053
  6. Step 6: Final answer
    x = 4,576,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.