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Finding the Third Proportional to 463,695 and 1,009,044

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Solution

The third proportional to 463,695 and 1,009,044 is: 2,195,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,695 : 1,009,044 = 1,009,044 : x
  2. Step 2: Convert to fraction form
    463,695/1,009,044 = 1,009,044/x
  3. Step 3: Cross multiply
    463,695x = 1,009,044 × 1,009,044
  4. Step 4: Simplify right side
    463,695x = 1,018,169,793,936
  5. Step 5: Solve for x
    x = 1,018,169,793,936/463,695
  6. Step 6: Final answer
    x = 2,195,774.80

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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.