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Finding the Third Proportional to 803,838 and 1,071,570

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Solution

The third proportional to 803,838 and 1,071,570 is: 1,428,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,838 : 1,071,570 = 1,071,570 : x
  2. Step 2: Convert to fraction form
    803,838/1,071,570 = 1,071,570/x
  3. Step 3: Cross multiply
    803,838x = 1,071,570 × 1,071,570
  4. Step 4: Simplify right side
    803,838x = 1,148,262,264,900
  5. Step 5: Solve for x
    x = 1,148,262,264,900/803,838
  6. Step 6: Final answer
    x = 1,428,474.72

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.