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Finding the Third Proportional to 464,202 and 1,018,008

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Solution

The third proportional to 464,202 and 1,018,008 is: 2,232,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,202 : 1,018,008 = 1,018,008 : x
  2. Step 2: Convert to fraction form
    464,202/1,018,008 = 1,018,008/x
  3. Step 3: Cross multiply
    464,202x = 1,018,008 × 1,018,008
  4. Step 4: Simplify right side
    464,202x = 1,036,340,288,064
  5. Step 5: Solve for x
    x = 1,036,340,288,064/464,202
  6. Step 6: Final answer
    x = 2,232,520.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.