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Finding the Third Proportional to 1,095,862,240 and 1,604,477,888

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Solution

The third proportional to 1,095,862,240 and 1,604,477,888 is: 2,349,154,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,862,240 : 1,604,477,888 = 1,604,477,888 : x
  2. Step 2: Convert to fraction form
    1,095,862,240/1,604,477,888 = 1,604,477,888/x
  3. Step 3: Cross multiply
    1,095,862,240x = 1,604,477,888 × 1,604,477,888
  4. Step 4: Simplify right side
    1,095,862,240x = 2,574,349,293,080,940,544
  5. Step 5: Solve for x
    x = 2,574,349,293,080,940,544/1,095,862,240
  6. Step 6: Final answer
    x = 2,349,154,117.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.