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Finding the Third Proportional to 524,742 and 1,159,746

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Solution

The third proportional to 524,742 and 1,159,746 is: 2,563,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,742 : 1,159,746 = 1,159,746 : x
  2. Step 2: Convert to fraction form
    524,742/1,159,746 = 1,159,746/x
  3. Step 3: Cross multiply
    524,742x = 1,159,746 × 1,159,746
  4. Step 4: Simplify right side
    524,742x = 1,345,010,784,516
  5. Step 5: Solve for x
    x = 1,345,010,784,516/524,742
  6. Step 6: Final answer
    x = 2,563,184.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.