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Finding the Third Proportional to 864,350 and 1,308,455

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Solution

The third proportional to 864,350 and 1,308,455 is: 1,980,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,350 : 1,308,455 = 1,308,455 : x
  2. Step 2: Convert to fraction form
    864,350/1,308,455 = 1,308,455/x
  3. Step 3: Cross multiply
    864,350x = 1,308,455 × 1,308,455
  4. Step 4: Simplify right side
    864,350x = 1,712,054,487,025
  5. Step 5: Solve for x
    x = 1,712,054,487,025/864,350
  6. Step 6: Final answer
    x = 1,980,742.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.