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Finding the Third Proportional to 484,693 and 1,035,358

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Solution

The third proportional to 484,693 and 1,035,358 is: 2,211,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,693 : 1,035,358 = 1,035,358 : x
  2. Step 2: Convert to fraction form
    484,693/1,035,358 = 1,035,358/x
  3. Step 3: Cross multiply
    484,693x = 1,035,358 × 1,035,358
  4. Step 4: Simplify right side
    484,693x = 1,071,966,188,164
  5. Step 5: Solve for x
    x = 1,071,966,188,164/484,693
  6. Step 6: Final answer
    x = 2,211,639.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.