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Finding the Third Proportional to 662,236 and 1,430,332

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Solution

The third proportional to 662,236 and 1,430,332 is: 3,089,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,236 : 1,430,332 = 1,430,332 : x
  2. Step 2: Convert to fraction form
    662,236/1,430,332 = 1,430,332/x
  3. Step 3: Cross multiply
    662,236x = 1,430,332 × 1,430,332
  4. Step 4: Simplify right side
    662,236x = 2,045,849,630,224
  5. Step 5: Solve for x
    x = 2,045,849,630,224/662,236
  6. Step 6: Final answer
    x = 3,089,305.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.