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Finding the Third Proportional to 895,832,838 and 1,390,914,657

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Solution

The third proportional to 895,832,838 and 1,390,914,657 is: 2,159,603,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,832,838 : 1,390,914,657 = 1,390,914,657 : x
  2. Step 2: Convert to fraction form
    895,832,838/1,390,914,657 = 1,390,914,657/x
  3. Step 3: Cross multiply
    895,832,838x = 1,390,914,657 × 1,390,914,657
  4. Step 4: Simplify right side
    895,832,838x = 1,934,643,583,057,427,712
  5. Step 5: Solve for x
    x = 1,934,643,583,057,427,712/895,832,838
  6. Step 6: Final answer
    x = 2,159,603,333.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.