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Finding the Third Proportional to 528,774 and 1,117,827

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Solution

The third proportional to 528,774 and 1,117,827 is: 2,363,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,774 : 1,117,827 = 1,117,827 : x
  2. Step 2: Convert to fraction form
    528,774/1,117,827 = 1,117,827/x
  3. Step 3: Cross multiply
    528,774x = 1,117,827 × 1,117,827
  4. Step 4: Simplify right side
    528,774x = 1,249,537,201,929
  5. Step 5: Solve for x
    x = 1,249,537,201,929/528,774
  6. Step 6: Final answer
    x = 2,363,083.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.