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Finding the Third Proportional to 426,092.63 and 912,037.50

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Solution

The third proportional to 426,092.63 and 912,037.50 is: 1,952,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,092.63 : 912,037.50 = 912,037.50 : x
  2. Step 2: Convert to fraction form
    426,092.63/912,037.50 = 912,037.50/x
  3. Step 3: Cross multiply
    426,092.63x = 912,037.50 × 912,037.50
  4. Step 4: Simplify right side
    426,092.63x = 831,812,401,406.25
  5. Step 5: Solve for x
    x = 831,812,401,406.25/426,092.63
  6. Step 6: Final answer
    x = 1,952,186.81

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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.