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Finding the Third Proportional to 452,306 and 975,820

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Solution

The third proportional to 452,306 and 975,820 is: 2,105,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,306 : 975,820 = 975,820 : x
  2. Step 2: Convert to fraction form
    452,306/975,820 = 975,820/x
  3. Step 3: Cross multiply
    452,306x = 975,820 × 975,820
  4. Step 4: Simplify right side
    452,306x = 952,224,672,400
  5. Step 5: Solve for x
    x = 952,224,672,400/452,306
  6. Step 6: Final answer
    x = 2,105,266.51

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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.