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Finding the Third Proportional to 623,306 and 1,333,012

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Solution

The third proportional to 623,306 and 1,333,012 is: 2,850,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,306 : 1,333,012 = 1,333,012 : x
  2. Step 2: Convert to fraction form
    623,306/1,333,012 = 1,333,012/x
  3. Step 3: Cross multiply
    623,306x = 1,333,012 × 1,333,012
  4. Step 4: Simplify right side
    623,306x = 1,776,920,992,144
  5. Step 5: Solve for x
    x = 1,776,920,992,144/623,306
  6. Step 6: Final answer
    x = 2,850,800.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.