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Finding the Third Proportional to 976,740 and 2,111,386.50

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Solution

The third proportional to 976,740 and 2,111,386.50 is: 4,564,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,740 : 2,111,386.50 = 2,111,386.50 : x
  2. Step 2: Convert to fraction form
    976,740/2,111,386.50 = 2,111,386.50/x
  3. Step 3: Cross multiply
    976,740x = 2,111,386.50 × 2,111,386.50
  4. Step 4: Simplify right side
    976,740x = 4,457,952,952,382.25
  5. Step 5: Solve for x
    x = 4,457,952,952,382.25/976,740
  6. Step 6: Final answer
    x = 4,564,114.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.