Finding the Third Proportional to 785,422 and 1,696,164
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Solution
The third proportional to 785,422 and 1,696,164 is: 3,662,963.75
Step by Step Solution
- Step 1: Write the proportion equation
785,422 : 1,696,164 = 1,696,164 : x - Step 2: Convert to fraction form
785,422/1,696,164 = 1,696,164/x - Step 3: Cross multiply
785,422x = 1,696,164 × 1,696,164 - Step 4: Simplify right side
785,422x = 2,876,972,314,896 - Step 5: Solve for x
x = 2,876,972,314,896/785,422 - Step 6: Final answer
x = 3,662,963.75
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.