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Finding the Third Proportional to 453,833 and 977,687

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Solution

The third proportional to 453,833 and 977,687 is: 2,106,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,833 : 977,687 = 977,687 : x
  2. Step 2: Convert to fraction form
    453,833/977,687 = 977,687/x
  3. Step 3: Cross multiply
    453,833x = 977,687 × 977,687
  4. Step 4: Simplify right side
    453,833x = 955,871,869,969
  5. Step 5: Solve for x
    x = 955,871,869,969/453,833
  6. Step 6: Final answer
    x = 2,106,219.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.