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Finding the Third Proportional to 689,354 and 1,506,724

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Solution

The third proportional to 689,354 and 1,506,724 is: 3,293,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,354 : 1,506,724 = 1,506,724 : x
  2. Step 2: Convert to fraction form
    689,354/1,506,724 = 1,506,724/x
  3. Step 3: Cross multiply
    689,354x = 1,506,724 × 1,506,724
  4. Step 4: Simplify right side
    689,354x = 2,270,217,212,176
  5. Step 5: Solve for x
    x = 2,270,217,212,176/689,354
  6. Step 6: Final answer
    x = 3,293,253.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.