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Finding the Third Proportional to 630,454 and 943,454

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Solution

The third proportional to 630,454 and 943,454 is: 1,411,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,454 : 943,454 = 943,454 : x
  2. Step 2: Convert to fraction form
    630,454/943,454 = 943,454/x
  3. Step 3: Cross multiply
    630,454x = 943,454 × 943,454
  4. Step 4: Simplify right side
    630,454x = 890,105,450,116
  5. Step 5: Solve for x
    x = 890,105,450,116/630,454
  6. Step 6: Final answer
    x = 1,411,848.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.