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Finding the Third Proportional to 983,368 and 1,513,660

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Solution

The third proportional to 983,368 and 1,513,660 is: 2,329,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,368 : 1,513,660 = 1,513,660 : x
  2. Step 2: Convert to fraction form
    983,368/1,513,660 = 1,513,660/x
  3. Step 3: Cross multiply
    983,368x = 1,513,660 × 1,513,660
  4. Step 4: Simplify right side
    983,368x = 2,291,166,595,600
  5. Step 5: Solve for x
    x = 2,291,166,595,600/983,368
  6. Step 6: Final answer
    x = 2,329,917.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.