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Finding the Third Proportional to 630,628 and 964,470

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Solution

The third proportional to 630,628 and 964,470 is: 1,475,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,628 : 964,470 = 964,470 : x
  2. Step 2: Convert to fraction form
    630,628/964,470 = 964,470/x
  3. Step 3: Cross multiply
    630,628x = 964,470 × 964,470
  4. Step 4: Simplify right side
    630,628x = 930,202,380,900
  5. Step 5: Solve for x
    x = 930,202,380,900/630,628
  6. Step 6: Final answer
    x = 1,475,041.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.