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Finding the Third Proportional to 983,729 and 1,447,461.50

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Solution

The third proportional to 983,729 and 1,447,461.50 is: 2,129,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,729 : 1,447,461.50 = 1,447,461.50 : x
  2. Step 2: Convert to fraction form
    983,729/1,447,461.50 = 1,447,461.50/x
  3. Step 3: Cross multiply
    983,729x = 1,447,461.50 × 1,447,461.50
  4. Step 4: Simplify right side
    983,729x = 2,095,144,793,982.25
  5. Step 5: Solve for x
    x = 2,095,144,793,982.25/983,729
  6. Step 6: Final answer
    x = 2,129,798.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.