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Finding the Third Proportional to 556,314 and 1,201,323

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Solution

The third proportional to 556,314 and 1,201,323 is: 2,594,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,314 : 1,201,323 = 1,201,323 : x
  2. Step 2: Convert to fraction form
    556,314/1,201,323 = 1,201,323/x
  3. Step 3: Cross multiply
    556,314x = 1,201,323 × 1,201,323
  4. Step 4: Simplify right side
    556,314x = 1,443,176,950,329
  5. Step 5: Solve for x
    x = 1,443,176,950,329/556,314
  6. Step 6: Final answer
    x = 2,594,176.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.