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Finding the Third Proportional to 709,052 and 1,517,773

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Solution

The third proportional to 709,052 and 1,517,773 is: 3,248,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,052 : 1,517,773 = 1,517,773 : x
  2. Step 2: Convert to fraction form
    709,052/1,517,773 = 1,517,773/x
  3. Step 3: Cross multiply
    709,052x = 1,517,773 × 1,517,773
  4. Step 4: Simplify right side
    709,052x = 2,303,634,879,529
  5. Step 5: Solve for x
    x = 2,303,634,879,529/709,052
  6. Step 6: Final answer
    x = 3,248,894.13

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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.