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Finding the Third Proportional to 830,830,140 and 1,315,598,265

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Solution

The third proportional to 830,830,140 and 1,315,598,265 is: 2,083,216,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,830,140 : 1,315,598,265 = 1,315,598,265 : x
  2. Step 2: Convert to fraction form
    830,830,140/1,315,598,265 = 1,315,598,265/x
  3. Step 3: Cross multiply
    830,830,140x = 1,315,598,265 × 1,315,598,265
  4. Step 4: Simplify right side
    830,830,140x = 1,730,798,794,871,010,304
  5. Step 5: Solve for x
    x = 1,730,798,794,871,010,304/830,830,140
  6. Step 6: Final answer
    x = 2,083,216,185.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.