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Finding the Third Proportional to 430,540 and 938,583

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Solution

The third proportional to 430,540 and 938,583 is: 2,046,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,540 : 938,583 = 938,583 : x
  2. Step 2: Convert to fraction form
    430,540/938,583 = 938,583/x
  3. Step 3: Cross multiply
    430,540x = 938,583 × 938,583
  4. Step 4: Simplify right side
    430,540x = 880,938,047,889
  5. Step 5: Solve for x
    x = 880,938,047,889/430,540
  6. Step 6: Final answer
    x = 2,046,123.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.