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Finding the Third Proportional to 430,434 and 942,702

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Solution

The third proportional to 430,434 and 942,702 is: 2,064,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,434 : 942,702 = 942,702 : x
  2. Step 2: Convert to fraction form
    430,434/942,702 = 942,702/x
  3. Step 3: Cross multiply
    430,434x = 942,702 × 942,702
  4. Step 4: Simplify right side
    430,434x = 888,687,060,804
  5. Step 5: Solve for x
    x = 888,687,060,804/430,434
  6. Step 6: Final answer
    x = 2,064,630.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.