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Finding the Third Proportional to 453,042 and 977,013

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Solution

The third proportional to 453,042 and 977,013 is: 2,106,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,042 : 977,013 = 977,013 : x
  2. Step 2: Convert to fraction form
    453,042/977,013 = 977,013/x
  3. Step 3: Cross multiply
    453,042x = 977,013 × 977,013
  4. Step 4: Simplify right side
    453,042x = 954,554,402,169
  5. Step 5: Solve for x
    x = 954,554,402,169/453,042
  6. Step 6: Final answer
    x = 2,106,988.76

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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.