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Finding the Third Proportional to 546,597 and 1,152,607.50

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Solution

The third proportional to 546,597 and 1,152,607.50 is: 2,430,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,597 : 1,152,607.50 = 1,152,607.50 : x
  2. Step 2: Convert to fraction form
    546,597/1,152,607.50 = 1,152,607.50/x
  3. Step 3: Cross multiply
    546,597x = 1,152,607.50 × 1,152,607.50
  4. Step 4: Simplify right side
    546,597x = 1,328,504,049,056.25
  5. Step 5: Solve for x
    x = 1,328,504,049,056.25/546,597
  6. Step 6: Final answer
    x = 2,430,500.07

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.