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Finding the Third Proportional to 450,111 and 977,502

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Solution

The third proportional to 450,111 and 977,502 is: 2,122,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,111 : 977,502 = 977,502 : x
  2. Step 2: Convert to fraction form
    450,111/977,502 = 977,502/x
  3. Step 3: Cross multiply
    450,111x = 977,502 × 977,502
  4. Step 4: Simplify right side
    450,111x = 955,510,160,004
  5. Step 5: Solve for x
    x = 955,510,160,004/450,111
  6. Step 6: Final answer
    x = 2,122,832.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.