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Finding the Third Proportional to 429,952 and 933,528

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Solution

The third proportional to 429,952 and 933,528 is: 2,026,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,952 : 933,528 = 933,528 : x
  2. Step 2: Convert to fraction form
    429,952/933,528 = 933,528/x
  3. Step 3: Cross multiply
    429,952x = 933,528 × 933,528
  4. Step 4: Simplify right side
    429,952x = 871,474,526,784
  5. Step 5: Solve for x
    x = 871,474,526,784/429,952
  6. Step 6: Final answer
    x = 2,026,911.21

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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.