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Finding the Third Proportional to 462,484 and 1,009,000

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Solution

The third proportional to 462,484 and 1,009,000 is: 2,201,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,484 : 1,009,000 = 1,009,000 : x
  2. Step 2: Convert to fraction form
    462,484/1,009,000 = 1,009,000/x
  3. Step 3: Cross multiply
    462,484x = 1,009,000 × 1,009,000
  4. Step 4: Simplify right side
    462,484x = 1,018,081,000,000
  5. Step 5: Solve for x
    x = 1,018,081,000,000/462,484
  6. Step 6: Final answer
    x = 2,201,332.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.