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Finding the Third Proportional to 426,280 and 933,776

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Solution

The third proportional to 426,280 and 933,776 is: 2,045,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,280 : 933,776 = 933,776 : x
  2. Step 2: Convert to fraction form
    426,280/933,776 = 933,776/x
  3. Step 3: Cross multiply
    426,280x = 933,776 × 933,776
  4. Step 4: Simplify right side
    426,280x = 871,937,618,176
  5. Step 5: Solve for x
    x = 871,937,618,176/426,280
  6. Step 6: Final answer
    x = 2,045,457.49

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Why These Related Problems?

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