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Finding the Third Proportional to 713,282 and 1,108,011

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Solution

The third proportional to 713,282 and 1,108,011 is: 1,721,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,282 : 1,108,011 = 1,108,011 : x
  2. Step 2: Convert to fraction form
    713,282/1,108,011 = 1,108,011/x
  3. Step 3: Cross multiply
    713,282x = 1,108,011 × 1,108,011
  4. Step 4: Simplify right side
    713,282x = 1,227,688,376,121
  5. Step 5: Solve for x
    x = 1,227,688,376,121/713,282
  6. Step 6: Final answer
    x = 1,721,182.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.