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Finding the Third Proportional to 450,084 and 977,440

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Solution

The third proportional to 450,084 and 977,440 is: 2,122,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,084 : 977,440 = 977,440 : x
  2. Step 2: Convert to fraction form
    450,084/977,440 = 977,440/x
  3. Step 3: Cross multiply
    450,084x = 977,440 × 977,440
  4. Step 4: Simplify right side
    450,084x = 955,388,953,600
  5. Step 5: Solve for x
    x = 955,388,953,600/450,084
  6. Step 6: Final answer
    x = 2,122,690.33

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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.