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Finding the Third Proportional to 426,547 and 987,473.50

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Solution

The third proportional to 426,547 and 987,473.50 is: 2,286,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,547 : 987,473.50 = 987,473.50 : x
  2. Step 2: Convert to fraction form
    426,547/987,473.50 = 987,473.50/x
  3. Step 3: Cross multiply
    426,547x = 987,473.50 × 987,473.50
  4. Step 4: Simplify right side
    426,547x = 975,103,913,202.25
  5. Step 5: Solve for x
    x = 975,103,913,202.25/426,547
  6. Step 6: Final answer
    x = 2,286,040.96

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.