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Finding the Third Proportional to 449,688 and 963,132

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Solution

The third proportional to 449,688 and 963,132 is: 2,062,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,688 : 963,132 = 963,132 : x
  2. Step 2: Convert to fraction form
    449,688/963,132 = 963,132/x
  3. Step 3: Cross multiply
    449,688x = 963,132 × 963,132
  4. Step 4: Simplify right side
    449,688x = 927,623,249,424
  5. Step 5: Solve for x
    x = 927,623,249,424/449,688
  6. Step 6: Final answer
    x = 2,062,815.22

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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.