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Finding the Third Proportional to 683,658 and 1,490,326

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Solution

The third proportional to 683,658 and 1,490,326 is: 3,248,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,658 : 1,490,326 = 1,490,326 : x
  2. Step 2: Convert to fraction form
    683,658/1,490,326 = 1,490,326/x
  3. Step 3: Cross multiply
    683,658x = 1,490,326 × 1,490,326
  4. Step 4: Simplify right side
    683,658x = 2,221,071,586,276
  5. Step 5: Solve for x
    x = 2,221,071,586,276/683,658
  6. Step 6: Final answer
    x = 3,248,805.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.