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Finding the Third Proportional to 1,307,730 and 1,757,385

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Solution

The third proportional to 1,307,730 and 1,757,385 is: 2,361,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,730 : 1,757,385 = 1,757,385 : x
  2. Step 2: Convert to fraction form
    1,307,730/1,757,385 = 1,757,385/x
  3. Step 3: Cross multiply
    1,307,730x = 1,757,385 × 1,757,385
  4. Step 4: Simplify right side
    1,307,730x = 3,088,402,038,225
  5. Step 5: Solve for x
    x = 3,088,402,038,225/1,307,730
  6. Step 6: Final answer
    x = 2,361,651.13

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.