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Finding the Third Proportional to 1,913,681 and 4,102,111

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Solution

The third proportional to 1,913,681 and 4,102,111 is: 8,793,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,681 : 4,102,111 = 4,102,111 : x
  2. Step 2: Convert to fraction form
    1,913,681/4,102,111 = 4,102,111/x
  3. Step 3: Cross multiply
    1,913,681x = 4,102,111 × 4,102,111
  4. Step 4: Simplify right side
    1,913,681x = 16,827,314,656,321
  5. Step 5: Solve for x
    x = 16,827,314,656,321/1,913,681
  6. Step 6: Final answer
    x = 8,793,165.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.