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Finding the Third Proportional to 630,779 and 943,557

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Solution

The third proportional to 630,779 and 943,557 is: 1,411,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,779 : 943,557 = 943,557 : x
  2. Step 2: Convert to fraction form
    630,779/943,557 = 943,557/x
  3. Step 3: Cross multiply
    630,779x = 943,557 × 943,557
  4. Step 4: Simplify right side
    630,779x = 890,299,812,249
  5. Step 5: Solve for x
    x = 890,299,812,249/630,779
  6. Step 6: Final answer
    x = 1,411,429.06

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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.