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Finding the Third Proportional to 429,120 and 930,528

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Solution

The third proportional to 429,120 and 930,528 is: 2,017,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,120 : 930,528 = 930,528 : x
  2. Step 2: Convert to fraction form
    429,120/930,528 = 930,528/x
  3. Step 3: Cross multiply
    429,120x = 930,528 × 930,528
  4. Step 4: Simplify right side
    429,120x = 865,882,358,784
  5. Step 5: Solve for x
    x = 865,882,358,784/429,120
  6. Step 6: Final answer
    x = 2,017,809.37

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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.