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Finding the Third Proportional to 430,336 and 919,968

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Solution

The third proportional to 430,336 and 919,968 is: 1,966,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,336 : 919,968 = 919,968 : x
  2. Step 2: Convert to fraction form
    430,336/919,968 = 919,968/x
  3. Step 3: Cross multiply
    430,336x = 919,968 × 919,968
  4. Step 4: Simplify right side
    430,336x = 846,341,121,024
  5. Step 5: Solve for x
    x = 846,341,121,024/430,336
  6. Step 6: Final answer
    x = 1,966,698.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.