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Finding the Third Proportional to 809,648,450 and 1,243,935,358

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Solution

The third proportional to 809,648,450 and 1,243,935,358 is: 1,911,169,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,648,450 : 1,243,935,358 = 1,243,935,358 : x
  2. Step 2: Convert to fraction form
    809,648,450/1,243,935,358 = 1,243,935,358/x
  3. Step 3: Cross multiply
    809,648,450x = 1,243,935,358 × 1,243,935,358
  4. Step 4: Simplify right side
    809,648,450x = 1,547,375,174,882,588,160
  5. Step 5: Solve for x
    x = 1,547,375,174,882,588,160/809,648,450
  6. Step 6: Final answer
    x = 1,911,169,193.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.