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Finding the Third Proportional to 487,038 and 1,041,306

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Solution

The third proportional to 487,038 and 1,041,306 is: 2,226,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,038 : 1,041,306 = 1,041,306 : x
  2. Step 2: Convert to fraction form
    487,038/1,041,306 = 1,041,306/x
  3. Step 3: Cross multiply
    487,038x = 1,041,306 × 1,041,306
  4. Step 4: Simplify right side
    487,038x = 1,084,318,185,636
  5. Step 5: Solve for x
    x = 1,084,318,185,636/487,038
  6. Step 6: Final answer
    x = 2,226,352.33

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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.