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Finding the Third Proportional to 630,214 and 943,120

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Solution

The third proportional to 630,214 and 943,120 is: 1,411,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,214 : 943,120 = 943,120 : x
  2. Step 2: Convert to fraction form
    630,214/943,120 = 943,120/x
  3. Step 3: Cross multiply
    630,214x = 943,120 × 943,120
  4. Step 4: Simplify right side
    630,214x = 889,475,334,400
  5. Step 5: Solve for x
    x = 889,475,334,400/630,214
  6. Step 6: Final answer
    x = 1,411,386.19

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