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Finding the Third Proportional to 572,294 and 1,244,097

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Solution

The third proportional to 572,294 and 1,244,097 is: 2,704,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,294 : 1,244,097 = 1,244,097 : x
  2. Step 2: Convert to fraction form
    572,294/1,244,097 = 1,244,097/x
  3. Step 3: Cross multiply
    572,294x = 1,244,097 × 1,244,097
  4. Step 4: Simplify right side
    572,294x = 1,547,777,345,409
  5. Step 5: Solve for x
    x = 1,547,777,345,409/572,294
  6. Step 6: Final answer
    x = 2,704,514.37

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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.