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Finding the Third Proportional to 613,748 and 1,312,784

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Solution

The third proportional to 613,748 and 1,312,784 is: 2,807,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,748 : 1,312,784 = 1,312,784 : x
  2. Step 2: Convert to fraction form
    613,748/1,312,784 = 1,312,784/x
  3. Step 3: Cross multiply
    613,748x = 1,312,784 × 1,312,784
  4. Step 4: Simplify right side
    613,748x = 1,723,401,830,656
  5. Step 5: Solve for x
    x = 1,723,401,830,656/613,748
  6. Step 6: Final answer
    x = 2,807,995.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.