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Finding the Third Proportional to 849,284 and 1,303,412

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Solution

The third proportional to 849,284 and 1,303,412 is: 2,000,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,284 : 1,303,412 = 1,303,412 : x
  2. Step 2: Convert to fraction form
    849,284/1,303,412 = 1,303,412/x
  3. Step 3: Cross multiply
    849,284x = 1,303,412 × 1,303,412
  4. Step 4: Simplify right side
    849,284x = 1,698,882,841,744
  5. Step 5: Solve for x
    x = 1,698,882,841,744/849,284
  6. Step 6: Final answer
    x = 2,000,370.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.