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Finding the Third Proportional to 652,454 and 1,437,358

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Solution

The third proportional to 652,454 and 1,437,358 is: 3,166,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,454 : 1,437,358 = 1,437,358 : x
  2. Step 2: Convert to fraction form
    652,454/1,437,358 = 1,437,358/x
  3. Step 3: Cross multiply
    652,454x = 1,437,358 × 1,437,358
  4. Step 4: Simplify right side
    652,454x = 2,065,998,020,164
  5. Step 5: Solve for x
    x = 2,065,998,020,164/652,454
  6. Step 6: Final answer
    x = 3,166,503.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.