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Finding the Third Proportional to 790,133 and 1,700,106

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Solution

The third proportional to 790,133 and 1,700,106 is: 3,658,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,133 : 1,700,106 = 1,700,106 : x
  2. Step 2: Convert to fraction form
    790,133/1,700,106 = 1,700,106/x
  3. Step 3: Cross multiply
    790,133x = 1,700,106 × 1,700,106
  4. Step 4: Simplify right side
    790,133x = 2,890,360,411,236
  5. Step 5: Solve for x
    x = 2,890,360,411,236/790,133
  6. Step 6: Final answer
    x = 3,658,068.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.