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Finding the Third Proportional to 610,778 and 1,316,224

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Solution

The third proportional to 610,778 and 1,316,224 is: 2,836,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,778 : 1,316,224 = 1,316,224 : x
  2. Step 2: Convert to fraction form
    610,778/1,316,224 = 1,316,224/x
  3. Step 3: Cross multiply
    610,778x = 1,316,224 × 1,316,224
  4. Step 4: Simplify right side
    610,778x = 1,732,445,618,176
  5. Step 5: Solve for x
    x = 1,732,445,618,176/610,778
  6. Step 6: Final answer
    x = 2,836,457.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.