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Finding the Third Proportional to 459,054 and 972,661.50

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Solution

The third proportional to 459,054 and 972,661.50 is: 2,060,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,054 : 972,661.50 = 972,661.50 : x
  2. Step 2: Convert to fraction form
    459,054/972,661.50 = 972,661.50/x
  3. Step 3: Cross multiply
    459,054x = 972,661.50 × 972,661.50
  4. Step 4: Simplify right side
    459,054x = 946,070,393,582.25
  5. Step 5: Solve for x
    x = 946,070,393,582.25/459,054
  6. Step 6: Final answer
    x = 2,060,913.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.