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Finding the Third Proportional to 786,300,534 and 1,706,256,882

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Solution

The third proportional to 786,300,534 and 1,706,256,882 is: 3,702,544,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,300,534 : 1,706,256,882 = 1,706,256,882 : x
  2. Step 2: Convert to fraction form
    786,300,534/1,706,256,882 = 1,706,256,882/x
  3. Step 3: Cross multiply
    786,300,534x = 1,706,256,882 × 1,706,256,882
  4. Step 4: Simplify right side
    786,300,534x = 2,911,312,547,372,361,728
  5. Step 5: Solve for x
    x = 2,911,312,547,372,361,728/786,300,534
  6. Step 6: Final answer
    x = 3,702,544,283.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.