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Finding the Third Proportional to 532,773 and 1,141,362

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Solution

The third proportional to 532,773 and 1,141,362 is: 2,445,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,773 : 1,141,362 = 1,141,362 : x
  2. Step 2: Convert to fraction form
    532,773/1,141,362 = 1,141,362/x
  3. Step 3: Cross multiply
    532,773x = 1,141,362 × 1,141,362
  4. Step 4: Simplify right side
    532,773x = 1,302,707,215,044
  5. Step 5: Solve for x
    x = 1,302,707,215,044/532,773
  6. Step 6: Final answer
    x = 2,445,144.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.