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Finding the Third Proportional to 506,854 and 1,097,358

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Solution

The third proportional to 506,854 and 1,097,358 is: 2,375,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,854 : 1,097,358 = 1,097,358 : x
  2. Step 2: Convert to fraction form
    506,854/1,097,358 = 1,097,358/x
  3. Step 3: Cross multiply
    506,854x = 1,097,358 × 1,097,358
  4. Step 4: Simplify right side
    506,854x = 1,204,194,580,164
  5. Step 5: Solve for x
    x = 1,204,194,580,164/506,854
  6. Step 6: Final answer
    x = 2,375,821.40

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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.