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Finding the Third Proportional to 586,077 and 1,244,097

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Solution

The third proportional to 586,077 and 1,244,097 is: 2,640,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,077 : 1,244,097 = 1,244,097 : x
  2. Step 2: Convert to fraction form
    586,077/1,244,097 = 1,244,097/x
  3. Step 3: Cross multiply
    586,077x = 1,244,097 × 1,244,097
  4. Step 4: Simplify right side
    586,077x = 1,547,777,345,409
  5. Step 5: Solve for x
    x = 1,547,777,345,409/586,077
  6. Step 6: Final answer
    x = 2,640,911.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.