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Finding the Third Proportional to 877,570 and 1,310,596

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Solution

The third proportional to 877,570 and 1,310,596 is: 1,957,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,570 : 1,310,596 = 1,310,596 : x
  2. Step 2: Convert to fraction form
    877,570/1,310,596 = 1,310,596/x
  3. Step 3: Cross multiply
    877,570x = 1,310,596 × 1,310,596
  4. Step 4: Simplify right side
    877,570x = 1,717,661,875,216
  5. Step 5: Solve for x
    x = 1,717,661,875,216/877,570
  6. Step 6: Final answer
    x = 1,957,293.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.