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Finding the Third Proportional to 450,102 and 977,480

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Solution

The third proportional to 450,102 and 977,480 is: 2,122,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,102 : 977,480 = 977,480 : x
  2. Step 2: Convert to fraction form
    450,102/977,480 = 977,480/x
  3. Step 3: Cross multiply
    450,102x = 977,480 × 977,480
  4. Step 4: Simplify right side
    450,102x = 955,467,150,400
  5. Step 5: Solve for x
    x = 955,467,150,400/450,102
  6. Step 6: Final answer
    x = 2,122,779.17

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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.