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Finding the Third Proportional to 524,725 and 1,112,506

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Solution

The third proportional to 524,725 and 1,112,506 is: 2,358,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,725 : 1,112,506 = 1,112,506 : x
  2. Step 2: Convert to fraction form
    524,725/1,112,506 = 1,112,506/x
  3. Step 3: Cross multiply
    524,725x = 1,112,506 × 1,112,506
  4. Step 4: Simplify right side
    524,725x = 1,237,669,600,036
  5. Step 5: Solve for x
    x = 1,237,669,600,036/524,725
  6. Step 6: Final answer
    x = 2,358,701.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.