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Finding the Third Proportional to 645,490 and 1,364,858

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Solution

The third proportional to 645,490 and 1,364,858 is: 2,885,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,490 : 1,364,858 = 1,364,858 : x
  2. Step 2: Convert to fraction form
    645,490/1,364,858 = 1,364,858/x
  3. Step 3: Cross multiply
    645,490x = 1,364,858 × 1,364,858
  4. Step 4: Simplify right side
    645,490x = 1,862,837,360,164
  5. Step 5: Solve for x
    x = 1,862,837,360,164/645,490
  6. Step 6: Final answer
    x = 2,885,927.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.