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Finding the Third Proportional to 434,352 and 942,944

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Solution

The third proportional to 434,352 and 942,944 is: 2,047,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,352 : 942,944 = 942,944 : x
  2. Step 2: Convert to fraction form
    434,352/942,944 = 942,944/x
  3. Step 3: Cross multiply
    434,352x = 942,944 × 942,944
  4. Step 4: Simplify right side
    434,352x = 889,143,387,136
  5. Step 5: Solve for x
    x = 889,143,387,136/434,352
  6. Step 6: Final answer
    x = 2,047,057.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.