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Finding the Third Proportional to 718,547 and 1,569,338

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Solution

The third proportional to 718,547 and 1,569,338 is: 3,427,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,547 : 1,569,338 = 1,569,338 : x
  2. Step 2: Convert to fraction form
    718,547/1,569,338 = 1,569,338/x
  3. Step 3: Cross multiply
    718,547x = 1,569,338 × 1,569,338
  4. Step 4: Simplify right side
    718,547x = 2,462,821,758,244
  5. Step 5: Solve for x
    x = 2,462,821,758,244/718,547
  6. Step 6: Final answer
    x = 3,427,502.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.