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Finding the Third Proportional to 480,388,964 and 1,048,864,454

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Solution

The third proportional to 480,388,964 and 1,048,864,454 is: 2,290,053,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,388,964 : 1,048,864,454 = 1,048,864,454 : x
  2. Step 2: Convert to fraction form
    480,388,964/1,048,864,454 = 1,048,864,454/x
  3. Step 3: Cross multiply
    480,388,964x = 1,048,864,454 × 1,048,864,454
  4. Step 4: Simplify right side
    480,388,964x = 1,100,116,642,864,718,080
  5. Step 5: Solve for x
    x = 1,100,116,642,864,718,080/480,388,964
  6. Step 6: Final answer
    x = 2,290,053,946.50

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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.