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Finding the Third Proportional to 689,140 and 1,011,030

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Solution

The third proportional to 689,140 and 1,011,030 is: 1,483,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,140 : 1,011,030 = 1,011,030 : x
  2. Step 2: Convert to fraction form
    689,140/1,011,030 = 1,011,030/x
  3. Step 3: Cross multiply
    689,140x = 1,011,030 × 1,011,030
  4. Step 4: Simplify right side
    689,140x = 1,022,181,660,900
  5. Step 5: Solve for x
    x = 1,022,181,660,900/689,140
  6. Step 6: Final answer
    x = 1,483,271.41

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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.