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Finding the Third Proportional to 1,710,302.34 and 3,716,305.31

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Solution

The third proportional to 1,710,302.34 and 3,716,305.31 is: 8,075,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,302.34 : 3,716,305.31 = 3,716,305.31 : x
  2. Step 2: Convert to fraction form
    1,710,302.34/3,716,305.31 = 3,716,305.31/x
  3. Step 3: Cross multiply
    1,710,302.34x = 3,716,305.31 × 3,716,305.31
  4. Step 4: Simplify right side
    1,710,302.34x = 13,810,925,175,715.72
  5. Step 5: Solve for x
    x = 13,810,925,175,715.72/1,710,302.34
  6. Step 6: Final answer
    x = 8,075,136.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.