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Finding the Third Proportional to 463,698 and 977,207.63

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Solution

The third proportional to 463,698 and 977,207.63 is: 2,059,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,698 : 977,207.63 = 977,207.63 : x
  2. Step 2: Convert to fraction form
    463,698/977,207.63 = 977,207.63/x
  3. Step 3: Cross multiply
    463,698x = 977,207.63 × 977,207.63
  4. Step 4: Simplify right side
    463,698x = 954,934,742,358.14
  5. Step 5: Solve for x
    x = 954,934,742,358.14/463,698
  6. Step 6: Final answer
    x = 2,059,389.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.