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Finding the Third Proportional to 923,889 and 1,975,457

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Solution

The third proportional to 923,889 and 1,975,457 is: 4,223,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,889 : 1,975,457 = 1,975,457 : x
  2. Step 2: Convert to fraction form
    923,889/1,975,457 = 1,975,457/x
  3. Step 3: Cross multiply
    923,889x = 1,975,457 × 1,975,457
  4. Step 4: Simplify right side
    923,889x = 3,902,430,358,849
  5. Step 5: Solve for x
    x = 3,902,430,358,849/923,889
  6. Step 6: Final answer
    x = 4,223,916.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.