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Finding the Third Proportional to 849,464 and 1,325,820

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Solution

The third proportional to 849,464 and 1,325,820 is: 2,069,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,464 : 1,325,820 = 1,325,820 : x
  2. Step 2: Convert to fraction form
    849,464/1,325,820 = 1,325,820/x
  3. Step 3: Cross multiply
    849,464x = 1,325,820 × 1,325,820
  4. Step 4: Simplify right side
    849,464x = 1,757,798,672,400
  5. Step 5: Solve for x
    x = 1,757,798,672,400/849,464
  6. Step 6: Final answer
    x = 2,069,303.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.