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Finding the Third Proportional to 652,264 and 1,420,316

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Solution

The third proportional to 652,264 and 1,420,316 is: 3,092,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,264 : 1,420,316 = 1,420,316 : x
  2. Step 2: Convert to fraction form
    652,264/1,420,316 = 1,420,316/x
  3. Step 3: Cross multiply
    652,264x = 1,420,316 × 1,420,316
  4. Step 4: Simplify right side
    652,264x = 2,017,297,539,856
  5. Step 5: Solve for x
    x = 2,017,297,539,856/652,264
  6. Step 6: Final answer
    x = 3,092,762.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.