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Finding the Third Proportional to 419,160 and 904,776

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Solution

The third proportional to 419,160 and 904,776 is: 1,953,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,160 : 904,776 = 904,776 : x
  2. Step 2: Convert to fraction form
    419,160/904,776 = 904,776/x
  3. Step 3: Cross multiply
    419,160x = 904,776 × 904,776
  4. Step 4: Simplify right side
    419,160x = 818,619,610,176
  5. Step 5: Solve for x
    x = 818,619,610,176/419,160
  6. Step 6: Final answer
    x = 1,953,000.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.