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Finding the Third Proportional to 716,028,206 and 1,069,632,547

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Solution

The third proportional to 716,028,206 and 1,069,632,547 is: 1,597,861,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,028,206 : 1,069,632,547 = 1,069,632,547 : x
  2. Step 2: Convert to fraction form
    716,028,206/1,069,632,547 = 1,069,632,547/x
  3. Step 3: Cross multiply
    716,028,206x = 1,069,632,547 × 1,069,632,547
  4. Step 4: Simplify right side
    716,028,206x = 1,144,113,785,601,707,264
  5. Step 5: Solve for x
    x = 1,144,113,785,601,707,264/716,028,206
  6. Step 6: Final answer
    x = 1,597,861,335.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.