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Finding the Third Proportional to 838,911 and 1,258,457

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Solution

The third proportional to 838,911 and 1,258,457 is: 1,887,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,911 : 1,258,457 = 1,258,457 : x
  2. Step 2: Convert to fraction form
    838,911/1,258,457 = 1,258,457/x
  3. Step 3: Cross multiply
    838,911x = 1,258,457 × 1,258,457
  4. Step 4: Simplify right side
    838,911x = 1,583,714,020,849
  5. Step 5: Solve for x
    x = 1,583,714,020,849/838,911
  6. Step 6: Final answer
    x = 1,887,821.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.