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Finding the Third Proportional to 426,594 and 933,537

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Solution

The third proportional to 426,594 and 933,537 is: 2,042,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,594 : 933,537 = 933,537 : x
  2. Step 2: Convert to fraction form
    426,594/933,537 = 933,537/x
  3. Step 3: Cross multiply
    426,594x = 933,537 × 933,537
  4. Step 4: Simplify right side
    426,594x = 871,491,330,369
  5. Step 5: Solve for x
    x = 871,491,330,369/426,594
  6. Step 6: Final answer
    x = 2,042,905.74

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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.