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Finding the Third Proportional to 900,057 and 1,314,537

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Solution

The third proportional to 900,057 and 1,314,537 is: 1,919,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,057 : 1,314,537 = 1,314,537 : x
  2. Step 2: Convert to fraction form
    900,057/1,314,537 = 1,314,537/x
  3. Step 3: Cross multiply
    900,057x = 1,314,537 × 1,314,537
  4. Step 4: Simplify right side
    900,057x = 1,728,007,524,369
  5. Step 5: Solve for x
    x = 1,728,007,524,369/900,057
  6. Step 6: Final answer
    x = 1,919,886.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.