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Finding the Third Proportional to 803,164 and 1,746,293

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Solution

The third proportional to 803,164 and 1,746,293 is: 3,796,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,164 : 1,746,293 = 1,746,293 : x
  2. Step 2: Convert to fraction form
    803,164/1,746,293 = 1,746,293/x
  3. Step 3: Cross multiply
    803,164x = 1,746,293 × 1,746,293
  4. Step 4: Simplify right side
    803,164x = 3,049,539,241,849
  5. Step 5: Solve for x
    x = 3,049,539,241,849/803,164
  6. Step 6: Final answer
    x = 3,796,907.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.