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Finding the Third Proportional to 804,259,389 and 1,735,548,486

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Solution

The third proportional to 804,259,389 and 1,735,548,486 is: 3,745,220,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,259,389 : 1,735,548,486 = 1,735,548,486 : x
  2. Step 2: Convert to fraction form
    804,259,389/1,735,548,486 = 1,735,548,486/x
  3. Step 3: Cross multiply
    804,259,389x = 1,735,548,486 × 1,735,548,486
  4. Step 4: Simplify right side
    804,259,389x = 3,012,128,547,256,892,416
  5. Step 5: Solve for x
    x = 3,012,128,547,256,892,416/804,259,389
  6. Step 6: Final answer
    x = 3,745,220,246.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.