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Finding the Third Proportional to 977,280 and 2,121,672

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Solution

The third proportional to 977,280 and 2,121,672 is: 4,606,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,280 : 2,121,672 = 2,121,672 : x
  2. Step 2: Convert to fraction form
    977,280/2,121,672 = 2,121,672/x
  3. Step 3: Cross multiply
    977,280x = 2,121,672 × 2,121,672
  4. Step 4: Simplify right side
    977,280x = 4,501,492,075,584
  5. Step 5: Solve for x
    x = 4,501,492,075,584/977,280
  6. Step 6: Final answer
    x = 4,606,143.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.