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Finding the Third Proportional to 3,411,087.19 and 4,989,664.13

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Solution

The third proportional to 3,411,087.19 and 4,989,664.13 is: 7,298,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411,087.19 : 4,989,664.13 = 4,989,664.13 : x
  2. Step 2: Convert to fraction form
    3,411,087.19/4,989,664.13 = 4,989,664.13/x
  3. Step 3: Cross multiply
    3,411,087.19x = 4,989,664.13 × 4,989,664.13
  4. Step 4: Simplify right side
    3,411,087.19x = 24,896,748,080,312.02
  5. Step 5: Solve for x
    x = 24,896,748,080,312.02/3,411,087.19
  6. Step 6: Final answer
    x = 7,298,772.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.