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Finding the Third Proportional to 478,272,240 and 1,029,896,459

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Solution

The third proportional to 478,272,240 and 1,029,896,459 is: 2,217,746,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,272,240 : 1,029,896,459 = 1,029,896,459 : x
  2. Step 2: Convert to fraction form
    478,272,240/1,029,896,459 = 1,029,896,459/x
  3. Step 3: Cross multiply
    478,272,240x = 1,029,896,459 × 1,029,896,459
  4. Step 4: Simplify right side
    478,272,240x = 1,060,686,716,260,738,688
  5. Step 5: Solve for x
    x = 1,060,686,716,260,738,688/478,272,240
  6. Step 6: Final answer
    x = 2,217,746,771.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.