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Finding the Third Proportional to 706,911 and 1,455,294

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Solution

The third proportional to 706,911 and 1,455,294 is: 2,995,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,911 : 1,455,294 = 1,455,294 : x
  2. Step 2: Convert to fraction form
    706,911/1,455,294 = 1,455,294/x
  3. Step 3: Cross multiply
    706,911x = 1,455,294 × 1,455,294
  4. Step 4: Simplify right side
    706,911x = 2,117,880,626,436
  5. Step 5: Solve for x
    x = 2,117,880,626,436/706,911
  6. Step 6: Final answer
    x = 2,995,965.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.