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Finding the Third Proportional to 1,214,547 and 1,815,129

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Solution

The third proportional to 1,214,547 and 1,815,129 is: 2,712,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,547 : 1,815,129 = 1,815,129 : x
  2. Step 2: Convert to fraction form
    1,214,547/1,815,129 = 1,815,129/x
  3. Step 3: Cross multiply
    1,214,547x = 1,815,129 × 1,815,129
  4. Step 4: Simplify right side
    1,214,547x = 3,294,693,286,641
  5. Step 5: Solve for x
    x = 3,294,693,286,641/1,214,547
  6. Step 6: Final answer
    x = 2,712,693.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.