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Finding the Third Proportional to 438,547 and 944,770

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Solution

The third proportional to 438,547 and 944,770 is: 2,035,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,547 : 944,770 = 944,770 : x
  2. Step 2: Convert to fraction form
    438,547/944,770 = 944,770/x
  3. Step 3: Cross multiply
    438,547x = 944,770 × 944,770
  4. Step 4: Simplify right side
    438,547x = 892,590,352,900
  5. Step 5: Solve for x
    x = 892,590,352,900/438,547
  6. Step 6: Final answer
    x = 2,035,335.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.